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Finding the Third Proportional to 114,497 and 249,334

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Solution

The third proportional to 114,497 and 249,334 is: 542,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,497 : 249,334 = 249,334 : x
  2. Step 2: Convert to fraction form
    114,497/249,334 = 249,334/x
  3. Step 3: Cross multiply
    114,497x = 249,334 × 249,334
  4. Step 4: Simplify right side
    114,497x = 62,167,443,556
  5. Step 5: Solve for x
    x = 62,167,443,556/114,497
  6. Step 6: Final answer
    x = 542,961.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.