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Finding the Third Proportional to 186,925.50 and 411,234

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Solution

The third proportional to 186,925.50 and 411,234 is: 904,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,925.50 : 411,234 = 411,234 : x
  2. Step 2: Convert to fraction form
    186,925.50/411,234 = 411,234/x
  3. Step 3: Cross multiply
    186,925.50x = 411,234 × 411,234
  4. Step 4: Simplify right side
    186,925.50x = 169,113,402,756
  5. Step 5: Solve for x
    x = 169,113,402,756/186,925.50
  6. Step 6: Final answer
    x = 904,710.18

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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.