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Finding the Third Proportional to 135,886 and 224,587

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Solution

The third proportional to 135,886 and 224,587 is: 371,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,886 : 224,587 = 224,587 : x
  2. Step 2: Convert to fraction form
    135,886/224,587 = 224,587/x
  3. Step 3: Cross multiply
    135,886x = 224,587 × 224,587
  4. Step 4: Simplify right side
    135,886x = 50,439,320,569
  5. Step 5: Solve for x
    x = 50,439,320,569/135,886
  6. Step 6: Final answer
    x = 371,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.