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Finding the Third Proportional to 115,472 and 249,376

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Solution

The third proportional to 115,472 and 249,376 is: 538,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,472 : 249,376 = 249,376 : x
  2. Step 2: Convert to fraction form
    115,472/249,376 = 249,376/x
  3. Step 3: Cross multiply
    115,472x = 249,376 × 249,376
  4. Step 4: Simplify right side
    115,472x = 62,188,389,376
  5. Step 5: Solve for x
    x = 62,188,389,376/115,472
  6. Step 6: Final answer
    x = 538,558.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.