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Finding the Third Proportional to 132,990 and 284,664

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Solution

The third proportional to 132,990 and 284,664 is: 609,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,990 : 284,664 = 284,664 : x
  2. Step 2: Convert to fraction form
    132,990/284,664 = 284,664/x
  3. Step 3: Cross multiply
    132,990x = 284,664 × 284,664
  4. Step 4: Simplify right side
    132,990x = 81,033,592,896
  5. Step 5: Solve for x
    x = 81,033,592,896/132,990
  6. Step 6: Final answer
    x = 609,320.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.