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Finding the Third Proportional to 117,375 and 249,294

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Solution

The third proportional to 117,375 and 249,294 is: 529,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,375 : 249,294 = 249,294 : x
  2. Step 2: Convert to fraction form
    117,375/249,294 = 249,294/x
  3. Step 3: Cross multiply
    117,375x = 249,294 × 249,294
  4. Step 4: Simplify right side
    117,375x = 62,147,498,436
  5. Step 5: Solve for x
    x = 62,147,498,436/117,375
  6. Step 6: Final answer
    x = 529,478.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.