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Finding the Third Proportional to 186,985.50 and 411,366

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Solution

The third proportional to 186,985.50 and 411,366 is: 905,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,985.50 : 411,366 = 411,366 : x
  2. Step 2: Convert to fraction form
    186,985.50/411,366 = 411,366/x
  3. Step 3: Cross multiply
    186,985.50x = 411,366 × 411,366
  4. Step 4: Simplify right side
    186,985.50x = 169,221,985,956
  5. Step 5: Solve for x
    x = 169,221,985,956/186,985.50
  6. Step 6: Final answer
    x = 905,000.58

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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.