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Finding the Third Proportional to 207,234.38 and 309,567.75

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Solution

The third proportional to 207,234.38 and 309,567.75 is: 462,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,234.38 : 309,567.75 = 309,567.75 : x
  2. Step 2: Convert to fraction form
    207,234.38/309,567.75 = 309,567.75/x
  3. Step 3: Cross multiply
    207,234.38x = 309,567.75 × 309,567.75
  4. Step 4: Simplify right side
    207,234.38x = 95,832,191,840.06
  5. Step 5: Solve for x
    x = 95,832,191,840.06/207,234.38
  6. Step 6: Final answer
    x = 462,433.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.