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Finding the Third Proportional to 251,505 and 369,238.50

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Solution

The third proportional to 251,505 and 369,238.50 is: 542,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,505 : 369,238.50 = 369,238.50 : x
  2. Step 2: Convert to fraction form
    251,505/369,238.50 = 369,238.50/x
  3. Step 3: Cross multiply
    251,505x = 369,238.50 × 369,238.50
  4. Step 4: Simplify right side
    251,505x = 136,337,069,882.25
  5. Step 5: Solve for x
    x = 136,337,069,882.25/251,505
  6. Step 6: Final answer
    x = 542,084.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.