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Finding the Third Proportional to 69,734.16 and 152,461.13

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Solution

The third proportional to 69,734.16 and 152,461.13 is: 333,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,734.16 : 152,461.13 = 152,461.13 : x
  2. Step 2: Convert to fraction form
    69,734.16/152,461.13 = 152,461.13/x
  3. Step 3: Cross multiply
    69,734.16x = 152,461.13 × 152,461.13
  4. Step 4: Simplify right side
    69,734.16x = 23,244,394,636.27
  5. Step 5: Solve for x
    x = 23,244,394,636.27/69,734.16
  6. Step 6: Final answer
    x = 333,328.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.