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Finding the Third Proportional to 185,701.22 and 406,895.91

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Solution

The third proportional to 185,701.22 and 406,895.91 is: 891,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,701.22 : 406,895.91 = 406,895.91 : x
  2. Step 2: Convert to fraction form
    185,701.22/406,895.91 = 406,895.91/x
  3. Step 3: Cross multiply
    185,701.22x = 406,895.91 × 406,895.91
  4. Step 4: Simplify right side
    185,701.22x = 165,564,278,523.01
  5. Step 5: Solve for x
    x = 165,564,278,523.01/185,701.22
  6. Step 6: Final answer
    x = 891,562.69

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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.