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Finding the Third Proportional to 179,455.50 and 251,262

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Solution

The third proportional to 179,455.50 and 251,262 is: 351,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,455.50 : 251,262 = 251,262 : x
  2. Step 2: Convert to fraction form
    179,455.50/251,262 = 251,262/x
  3. Step 3: Cross multiply
    179,455.50x = 251,262 × 251,262
  4. Step 4: Simplify right side
    179,455.50x = 63,132,592,644
  5. Step 5: Solve for x
    x = 63,132,592,644/179,455.50
  6. Step 6: Final answer
    x = 351,800.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.