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Finding the Third Proportional to 187,656.75 and 404,762.06

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Solution

The third proportional to 187,656.75 and 404,762.06 is: 873,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,656.75 : 404,762.06 = 404,762.06 : x
  2. Step 2: Convert to fraction form
    187,656.75/404,762.06 = 404,762.06/x
  3. Step 3: Cross multiply
    187,656.75x = 404,762.06 × 404,762.06
  4. Step 4: Simplify right side
    187,656.75x = 163,832,327,239.25
  5. Step 5: Solve for x
    x = 163,832,327,239.25/187,656.75
  6. Step 6: Final answer
    x = 873,042.55

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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.