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Finding the Third Proportional to 132,320 and 290,884

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Solution

The third proportional to 132,320 and 290,884 is: 639,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,320 : 290,884 = 290,884 : x
  2. Step 2: Convert to fraction form
    132,320/290,884 = 290,884/x
  3. Step 3: Cross multiply
    132,320x = 290,884 × 290,884
  4. Step 4: Simplify right side
    132,320x = 84,613,501,456
  5. Step 5: Solve for x
    x = 84,613,501,456/132,320
  6. Step 6: Final answer
    x = 639,461.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.