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Finding the Third Proportional to 251,350.50 and 538,680

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Solution

The third proportional to 251,350.50 and 538,680 is: 1,154,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,350.50 : 538,680 = 538,680 : x
  2. Step 2: Convert to fraction form
    251,350.50/538,680 = 538,680/x
  3. Step 3: Cross multiply
    251,350.50x = 538,680 × 538,680
  4. Step 4: Simplify right side
    251,350.50x = 290,176,142,400
  5. Step 5: Solve for x
    x = 290,176,142,400/251,350.50
  6. Step 6: Final answer
    x = 1,154,468.13

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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.