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Finding the Third Proportional to 113,944 and 249,374

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Solution

The third proportional to 113,944 and 249,374 is: 545,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,944 : 249,374 = 249,374 : x
  2. Step 2: Convert to fraction form
    113,944/249,374 = 249,374/x
  3. Step 3: Cross multiply
    113,944x = 249,374 × 249,374
  4. Step 4: Simplify right side
    113,944x = 62,187,391,876
  5. Step 5: Solve for x
    x = 62,187,391,876/113,944
  6. Step 6: Final answer
    x = 545,771.54

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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.