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Finding the Third Proportional to 132,224 and 290,572

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Solution

The third proportional to 132,224 and 290,572 is: 638,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,224 : 290,572 = 290,572 : x
  2. Step 2: Convert to fraction form
    132,224/290,572 = 290,572/x
  3. Step 3: Cross multiply
    132,224x = 290,572 × 290,572
  4. Step 4: Simplify right side
    132,224x = 84,432,087,184
  5. Step 5: Solve for x
    x = 84,432,087,184/132,224
  6. Step 6: Final answer
    x = 638,553.42

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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.