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Finding the Third Proportional to 175,046.06 and 257,000.34

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Solution

The third proportional to 175,046.06 and 257,000.34 is: 377,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,046.06 : 257,000.34 = 257,000.34 : x
  2. Step 2: Convert to fraction form
    175,046.06/257,000.34 = 257,000.34/x
  3. Step 3: Cross multiply
    175,046.06x = 257,000.34 × 257,000.34
  4. Step 4: Simplify right side
    175,046.06x = 66,049,176,687.62
  5. Step 5: Solve for x
    x = 66,049,176,687.62/175,046.06
  6. Step 6: Final answer
    x = 377,324.55

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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.