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Finding the Third Proportional to 185,287.50 and 404,460

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Solution

The third proportional to 185,287.50 and 404,460 is: 882,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,287.50 : 404,460 = 404,460 : x
  2. Step 2: Convert to fraction form
    185,287.50/404,460 = 404,460/x
  3. Step 3: Cross multiply
    185,287.50x = 404,460 × 404,460
  4. Step 4: Simplify right side
    185,287.50x = 163,587,891,600
  5. Step 5: Solve for x
    x = 163,587,891,600/185,287.50
  6. Step 6: Final answer
    x = 882,886.82

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