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Finding the Third Proportional to 240,220.69 and 510,072.19

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Solution

The third proportional to 240,220.69 and 510,072.19 is: 1,083,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,220.69 : 510,072.19 = 510,072.19 : x
  2. Step 2: Convert to fraction form
    240,220.69/510,072.19 = 510,072.19/x
  3. Step 3: Cross multiply
    240,220.69x = 510,072.19 × 510,072.19
  4. Step 4: Simplify right side
    240,220.69x = 260,173,636,461.04
  5. Step 5: Solve for x
    x = 260,173,636,461.04/240,220.69
  6. Step 6: Final answer
    x = 1,083,060.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.