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Finding the Third Proportional to 234,939 and 355,687.50

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Solution

The third proportional to 234,939 and 355,687.50 is: 538,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,939 : 355,687.50 = 355,687.50 : x
  2. Step 2: Convert to fraction form
    234,939/355,687.50 = 355,687.50/x
  3. Step 3: Cross multiply
    234,939x = 355,687.50 × 355,687.50
  4. Step 4: Simplify right side
    234,939x = 126,513,597,656.25
  5. Step 5: Solve for x
    x = 126,513,597,656.25/234,939
  6. Step 6: Final answer
    x = 538,495.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.