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Finding the Third Proportional to 141,252 and 224,838

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Solution

The third proportional to 141,252 and 224,838 is: 357,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,252 : 224,838 = 224,838 : x
  2. Step 2: Convert to fraction form
    141,252/224,838 = 224,838/x
  3. Step 3: Cross multiply
    141,252x = 224,838 × 224,838
  4. Step 4: Simplify right side
    141,252x = 50,552,126,244
  5. Step 5: Solve for x
    x = 50,552,126,244/141,252
  6. Step 6: Final answer
    x = 357,886.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.