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Finding the Third Proportional to 113,905.50 and 249,750

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Solution

The third proportional to 113,905.50 and 249,750 is: 547,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,905.50 : 249,750 = 249,750 : x
  2. Step 2: Convert to fraction form
    113,905.50/249,750 = 249,750/x
  3. Step 3: Cross multiply
    113,905.50x = 249,750 × 249,750
  4. Step 4: Simplify right side
    113,905.50x = 62,375,062,500
  5. Step 5: Solve for x
    x = 62,375,062,500/113,905.50
  6. Step 6: Final answer
    x = 547,603.61

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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.