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Finding the Third Proportional to 186,459.75 and 289,234.13

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Solution

The third proportional to 186,459.75 and 289,234.13 is: 448,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,459.75 : 289,234.13 = 289,234.13 : x
  2. Step 2: Convert to fraction form
    186,459.75/289,234.13 = 289,234.13/x
  3. Step 3: Cross multiply
    186,459.75x = 289,234.13 × 289,234.13
  4. Step 4: Simplify right side
    186,459.75x = 83,656,379,064.52
  5. Step 5: Solve for x
    x = 83,656,379,064.52/186,459.75
  6. Step 6: Final answer
    x = 448,656.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.