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Finding the Third Proportional to 176,377.50 and 251,335.50

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Solution

The third proportional to 176,377.50 and 251,335.50 is: 358,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,377.50 : 251,335.50 = 251,335.50 : x
  2. Step 2: Convert to fraction form
    176,377.50/251,335.50 = 251,335.50/x
  3. Step 3: Cross multiply
    176,377.50x = 251,335.50 × 251,335.50
  4. Step 4: Simplify right side
    176,377.50x = 63,169,533,560.25
  5. Step 5: Solve for x
    x = 63,169,533,560.25/176,377.50
  6. Step 6: Final answer
    x = 358,149.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.