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Finding the Third Proportional to 129,188.25 and 277,060.50

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Solution

The third proportional to 129,188.25 and 277,060.50 is: 594,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,188.25 : 277,060.50 = 277,060.50 : x
  2. Step 2: Convert to fraction form
    129,188.25/277,060.50 = 277,060.50/x
  3. Step 3: Cross multiply
    129,188.25x = 277,060.50 × 277,060.50
  4. Step 4: Simplify right side
    129,188.25x = 76,762,520,660.25
  5. Step 5: Solve for x
    x = 76,762,520,660.25/129,188.25
  6. Step 6: Final answer
    x = 594,191.20

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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.