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Finding the Third Proportional to 113,566 and 249,520

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Solution

The third proportional to 113,566 and 249,520 is: 548,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,566 : 249,520 = 249,520 : x
  2. Step 2: Convert to fraction form
    113,566/249,520 = 249,520/x
  3. Step 3: Cross multiply
    113,566x = 249,520 × 249,520
  4. Step 4: Simplify right side
    113,566x = 62,260,230,400
  5. Step 5: Solve for x
    x = 62,260,230,400/113,566
  6. Step 6: Final answer
    x = 548,229.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.