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Finding the Third Proportional to 186,925.13 and 411,215.44

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Solution

The third proportional to 186,925.13 and 411,215.44 is: 904,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,925.13 : 411,215.44 = 411,215.44 : x
  2. Step 2: Convert to fraction form
    186,925.13/411,215.44 = 411,215.44/x
  3. Step 3: Cross multiply
    186,925.13x = 411,215.44 × 411,215.44
  4. Step 4: Simplify right side
    186,925.13x = 169,098,136,038.32
  5. Step 5: Solve for x
    x = 169,098,136,038.32/186,925.13
  6. Step 6: Final answer
    x = 904,630.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.