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Finding the Third Proportional to 185,359.50 and 404,712

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Solution

The third proportional to 185,359.50 and 404,712 is: 883,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,359.50 : 404,712 = 404,712 : x
  2. Step 2: Convert to fraction form
    185,359.50/404,712 = 404,712/x
  3. Step 3: Cross multiply
    185,359.50x = 404,712 × 404,712
  4. Step 4: Simplify right side
    185,359.50x = 163,791,802,944
  5. Step 5: Solve for x
    x = 163,791,802,944/185,359.50
  6. Step 6: Final answer
    x = 883,643.96

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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.