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Finding the Third Proportional to 131,145.75 and 280,897.88

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Solution

The third proportional to 131,145.75 and 280,897.88 is: 601,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,145.75 : 280,897.88 = 280,897.88 : x
  2. Step 2: Convert to fraction form
    131,145.75/280,897.88 = 280,897.88/x
  3. Step 3: Cross multiply
    131,145.75x = 280,897.88 × 280,897.88
  4. Step 4: Simplify right side
    131,145.75x = 78,903,616,179.52
  5. Step 5: Solve for x
    x = 78,903,616,179.52/131,145.75
  6. Step 6: Final answer
    x = 601,648.29

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