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Finding the Third Proportional to 272,548.13 and 381,925.13

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Solution

The third proportional to 272,548.13 and 381,925.13 is: 535,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,548.13 : 381,925.13 = 381,925.13 : x
  2. Step 2: Convert to fraction form
    272,548.13/381,925.13 = 381,925.13/x
  3. Step 3: Cross multiply
    272,548.13x = 381,925.13 × 381,925.13
  4. Step 4: Simplify right side
    272,548.13x = 145,866,801,106.27
  5. Step 5: Solve for x
    x = 145,866,801,106.27/272,548.13
  6. Step 6: Final answer
    x = 535,196.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.