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Finding the Third Proportional to 187,042 and 403,610

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Solution

The third proportional to 187,042 and 403,610 is: 870,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,042 : 403,610 = 403,610 : x
  2. Step 2: Convert to fraction form
    187,042/403,610 = 403,610/x
  3. Step 3: Cross multiply
    187,042x = 403,610 × 403,610
  4. Step 4: Simplify right side
    187,042x = 162,901,032,100
  5. Step 5: Solve for x
    x = 162,901,032,100/187,042
  6. Step 6: Final answer
    x = 870,932.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.