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Finding the Third Proportional to 116,472 and 249,564

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Solution

The third proportional to 116,472 and 249,564 is: 534,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,472 : 249,564 = 249,564 : x
  2. Step 2: Convert to fraction form
    116,472/249,564 = 249,564/x
  3. Step 3: Cross multiply
    116,472x = 249,564 × 249,564
  4. Step 4: Simplify right side
    116,472x = 62,282,190,096
  5. Step 5: Solve for x
    x = 62,282,190,096/116,472
  6. Step 6: Final answer
    x = 534,739.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.