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Finding the Third Proportional to 172,160.44 and 242,011.13

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Solution

The third proportional to 172,160.44 and 242,011.13 is: 340,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,160.44 : 242,011.13 = 242,011.13 : x
  2. Step 2: Convert to fraction form
    172,160.44/242,011.13 = 242,011.13/x
  3. Step 3: Cross multiply
    172,160.44x = 242,011.13 × 242,011.13
  4. Step 4: Simplify right side
    172,160.44x = 58,569,384,623.77
  5. Step 5: Solve for x
    x = 58,569,384,623.77/172,160.44
  6. Step 6: Final answer
    x = 340,202.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.