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Finding the Third Proportional to 113,524 and 243,359

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Solution

The third proportional to 113,524 and 243,359 is: 521,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,524 : 243,359 = 243,359 : x
  2. Step 2: Convert to fraction form
    113,524/243,359 = 243,359/x
  3. Step 3: Cross multiply
    113,524x = 243,359 × 243,359
  4. Step 4: Simplify right side
    113,524x = 59,223,602,881
  5. Step 5: Solve for x
    x = 59,223,602,881/113,524
  6. Step 6: Final answer
    x = 521,683.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.