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Finding the Third Proportional to 165,061.13 and 249,436.13

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Solution

The third proportional to 165,061.13 and 249,436.13 is: 376,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,061.13 : 249,436.13 = 249,436.13 : x
  2. Step 2: Convert to fraction form
    165,061.13/249,436.13 = 249,436.13/x
  3. Step 3: Cross multiply
    165,061.13x = 249,436.13 × 249,436.13
  4. Step 4: Simplify right side
    165,061.13x = 62,218,380,455.02
  5. Step 5: Solve for x
    x = 62,218,380,455.02/165,061.13
  6. Step 6: Final answer
    x = 376,941.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.