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Finding the Third Proportional to 175,182.75 and 242,677.13

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Solution

The third proportional to 175,182.75 and 242,677.13 is: 336,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,182.75 : 242,677.13 = 242,677.13 : x
  2. Step 2: Convert to fraction form
    175,182.75/242,677.13 = 242,677.13/x
  3. Step 3: Cross multiply
    175,182.75x = 242,677.13 × 242,677.13
  4. Step 4: Simplify right side
    175,182.75x = 58,892,186,998.27
  5. Step 5: Solve for x
    x = 58,892,186,998.27/175,182.75
  6. Step 6: Final answer
    x = 336,175.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.