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Finding the Third Proportional to 132,624 and 205,362

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Solution

The third proportional to 132,624 and 205,362 is: 317,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,624 : 205,362 = 205,362 : x
  2. Step 2: Convert to fraction form
    132,624/205,362 = 205,362/x
  3. Step 3: Cross multiply
    132,624x = 205,362 × 205,362
  4. Step 4: Simplify right side
    132,624x = 42,173,551,044
  5. Step 5: Solve for x
    x = 42,173,551,044/132,624
  6. Step 6: Final answer
    x = 317,993.36

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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.