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Finding the Third Proportional to 179,182.13 and 392,779.13

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Solution

The third proportional to 179,182.13 and 392,779.13 is: 860,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,182.13 : 392,779.13 = 392,779.13 : x
  2. Step 2: Convert to fraction form
    179,182.13/392,779.13 = 392,779.13/x
  3. Step 3: Cross multiply
    179,182.13x = 392,779.13 × 392,779.13
  4. Step 4: Simplify right side
    179,182.13x = 154,275,441,035.77
  5. Step 5: Solve for x
    x = 154,275,441,035.77/179,182.13
  6. Step 6: Final answer
    x = 860,997.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.