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Finding the Third Proportional to 129,635.44 and 277,252.88

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Solution

The third proportional to 129,635.44 and 277,252.88 is: 592,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,635.44 : 277,252.88 = 277,252.88 : x
  2. Step 2: Convert to fraction form
    129,635.44/277,252.88 = 277,252.88/x
  3. Step 3: Cross multiply
    129,635.44x = 277,252.88 × 277,252.88
  4. Step 4: Simplify right side
    129,635.44x = 76,869,156,695.77
  5. Step 5: Solve for x
    x = 76,869,156,695.77/129,635.44
  6. Step 6: Final answer
    x = 592,964.07

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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.