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Finding the Third Proportional to 113,940 and 249,366

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Solution

The third proportional to 113,940 and 249,366 is: 545,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,940 : 249,366 = 249,366 : x
  2. Step 2: Convert to fraction form
    113,940/249,366 = 249,366/x
  3. Step 3: Cross multiply
    113,940x = 249,366 × 249,366
  4. Step 4: Simplify right side
    113,940x = 62,183,401,956
  5. Step 5: Solve for x
    x = 62,183,401,956/113,940
  6. Step 6: Final answer
    x = 545,755.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.