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Finding the Third Proportional to 132,232 and 290,588

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Solution

The third proportional to 132,232 and 290,588 is: 638,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,232 : 290,588 = 290,588 : x
  2. Step 2: Convert to fraction form
    132,232/290,588 = 290,588/x
  3. Step 3: Cross multiply
    132,232x = 290,588 × 290,588
  4. Step 4: Simplify right side
    132,232x = 84,441,385,744
  5. Step 5: Solve for x
    x = 84,441,385,744/132,232
  6. Step 6: Final answer
    x = 638,585.11

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Why These Related Problems?

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