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Finding the Third Proportional to 132,090 and 200,658

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Solution

The third proportional to 132,090 and 200,658 is: 304,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,090 : 200,658 = 200,658 : x
  2. Step 2: Convert to fraction form
    132,090/200,658 = 200,658/x
  3. Step 3: Cross multiply
    132,090x = 200,658 × 200,658
  4. Step 4: Simplify right side
    132,090x = 40,263,632,964
  5. Step 5: Solve for x
    x = 40,263,632,964/132,090
  6. Step 6: Final answer
    x = 304,819.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.