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Finding the Third Proportional to 140,964 and 207,552

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Solution

The third proportional to 140,964 and 207,552 is: 305,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,964 : 207,552 = 207,552 : x
  2. Step 2: Convert to fraction form
    140,964/207,552 = 207,552/x
  3. Step 3: Cross multiply
    140,964x = 207,552 × 207,552
  4. Step 4: Simplify right side
    140,964x = 43,077,832,704
  5. Step 5: Solve for x
    x = 43,077,832,704/140,964
  6. Step 6: Final answer
    x = 305,594.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.