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Finding the Third Proportional to 132,424 and 205,178

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Solution

The third proportional to 132,424 and 205,178 is: 317,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,424 : 205,178 = 205,178 : x
  2. Step 2: Convert to fraction form
    132,424/205,178 = 205,178/x
  3. Step 3: Cross multiply
    132,424x = 205,178 × 205,178
  4. Step 4: Simplify right side
    132,424x = 42,098,011,684
  5. Step 5: Solve for x
    x = 42,098,011,684/132,424
  6. Step 6: Final answer
    x = 317,903.19

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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.