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Finding the Third Proportional to 131,264.75 and 280,522

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Solution

The third proportional to 131,264.75 and 280,522 is: 599,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,264.75 : 280,522 = 280,522 : x
  2. Step 2: Convert to fraction form
    131,264.75/280,522 = 280,522/x
  3. Step 3: Cross multiply
    131,264.75x = 280,522 × 280,522
  4. Step 4: Simplify right side
    131,264.75x = 78,692,592,484
  5. Step 5: Solve for x
    x = 78,692,592,484/131,264.75
  6. Step 6: Final answer
    x = 599,495.24

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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.