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Finding the Third Proportional to 144,566.16 and 313,265.53

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Solution

The third proportional to 144,566.16 and 313,265.53 is: 678,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,566.16 : 313,265.53 = 313,265.53 : x
  2. Step 2: Convert to fraction form
    144,566.16/313,265.53 = 313,265.53/x
  3. Step 3: Cross multiply
    144,566.16x = 313,265.53 × 313,265.53
  4. Step 4: Simplify right side
    144,566.16x = 98,135,293,069.34
  5. Step 5: Solve for x
    x = 98,135,293,069.34/144,566.16
  6. Step 6: Final answer
    x = 678,826.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.