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Finding the Third Proportional to 239,761.25 and 358,000

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Solution

The third proportional to 239,761.25 and 358,000 is: 534,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,761.25 : 358,000 = 358,000 : x
  2. Step 2: Convert to fraction form
    239,761.25/358,000 = 358,000/x
  3. Step 3: Cross multiply
    239,761.25x = 358,000 × 358,000
  4. Step 4: Simplify right side
    239,761.25x = 128,164,000,000
  5. Step 5: Solve for x
    x = 128,164,000,000/239,761.25
  6. Step 6: Final answer
    x = 534,548.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.