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Finding the Third Proportional to 178,001.72 and 362,613.38

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Solution

The third proportional to 178,001.72 and 362,613.38 is: 738,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,001.72 : 362,613.38 = 362,613.38 : x
  2. Step 2: Convert to fraction form
    178,001.72/362,613.38 = 362,613.38/x
  3. Step 3: Cross multiply
    178,001.72x = 362,613.38 × 362,613.38
  4. Step 4: Simplify right side
    178,001.72x = 131,488,459,728.89
  5. Step 5: Solve for x
    x = 131,488,459,728.89/178,001.72
  6. Step 6: Final answer
    x = 738,692.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.