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Finding the Third Proportional to 162,168.75 and 242,605.13

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Solution

The third proportional to 162,168.75 and 242,605.13 is: 362,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,168.75 : 242,605.13 = 242,605.13 : x
  2. Step 2: Convert to fraction form
    162,168.75/242,605.13 = 242,605.13/x
  3. Step 3: Cross multiply
    162,168.75x = 242,605.13 × 242,605.13
  4. Step 4: Simplify right side
    162,168.75x = 58,857,246,676.27
  5. Step 5: Solve for x
    x = 58,857,246,676.27/162,168.75
  6. Step 6: Final answer
    x = 362,938.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.