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Finding the Third Proportional to 185,289 and 404,034

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Solution

The third proportional to 185,289 and 404,034 is: 881,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,289 : 404,034 = 404,034 : x
  2. Step 2: Convert to fraction form
    185,289/404,034 = 404,034/x
  3. Step 3: Cross multiply
    185,289x = 404,034 × 404,034
  4. Step 4: Simplify right side
    185,289x = 163,243,473,156
  5. Step 5: Solve for x
    x = 163,243,473,156/185,289
  6. Step 6: Final answer
    x = 881,020.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.