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Finding the Third Proportional to 132,588 and 200,808

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Solution

The third proportional to 132,588 and 200,808 is: 304,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,588 : 200,808 = 200,808 : x
  2. Step 2: Convert to fraction form
    132,588/200,808 = 200,808/x
  3. Step 3: Cross multiply
    132,588x = 200,808 × 200,808
  4. Step 4: Simplify right side
    132,588x = 40,323,852,864
  5. Step 5: Solve for x
    x = 40,323,852,864/132,588
  6. Step 6: Final answer
    x = 304,128.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.