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Finding the Third Proportional to 207,234.50 and 309,567.94

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Solution

The third proportional to 207,234.50 and 309,567.94 is: 462,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,234.50 : 309,567.94 = 309,567.94 : x
  2. Step 2: Convert to fraction form
    207,234.50/309,567.94 = 309,567.94/x
  3. Step 3: Cross multiply
    207,234.50x = 309,567.94 × 309,567.94
  4. Step 4: Simplify right side
    207,234.50x = 95,832,307,928.00
  5. Step 5: Solve for x
    x = 95,832,307,928.00/207,234.50
  6. Step 6: Final answer
    x = 462,434.14

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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.