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Finding the Third Proportional to 115,120 and 249,448

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Solution

The third proportional to 115,120 and 249,448 is: 540,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,120 : 249,448 = 249,448 : x
  2. Step 2: Convert to fraction form
    115,120/249,448 = 249,448/x
  3. Step 3: Cross multiply
    115,120x = 249,448 × 249,448
  4. Step 4: Simplify right side
    115,120x = 62,224,304,704
  5. Step 5: Solve for x
    x = 62,224,304,704/115,120
  6. Step 6: Final answer
    x = 540,516.89

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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.