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Finding the Third Proportional to 185,878.13 and 295,425.56

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Solution

The third proportional to 185,878.13 and 295,425.56 is: 469,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,878.13 : 295,425.56 = 295,425.56 : x
  2. Step 2: Convert to fraction form
    185,878.13/295,425.56 = 295,425.56/x
  3. Step 3: Cross multiply
    185,878.13x = 295,425.56 × 295,425.56
  4. Step 4: Simplify right side
    185,878.13x = 87,276,262,978.44
  5. Step 5: Solve for x
    x = 87,276,262,978.44/185,878.13
  6. Step 6: Final answer
    x = 469,534.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.