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Finding the Third Proportional to 116,517 and 249,648

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Solution

The third proportional to 116,517 and 249,648 is: 534,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,517 : 249,648 = 249,648 : x
  2. Step 2: Convert to fraction form
    116,517/249,648 = 249,648/x
  3. Step 3: Cross multiply
    116,517x = 249,648 × 249,648
  4. Step 4: Simplify right side
    116,517x = 62,324,123,904
  5. Step 5: Solve for x
    x = 62,324,123,904/116,517
  6. Step 6: Final answer
    x = 534,892.97

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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.