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Finding the Third Proportional to 162,231.75 and 242,001

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Solution

The third proportional to 162,231.75 and 242,001 is: 360,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,231.75 : 242,001 = 242,001 : x
  2. Step 2: Convert to fraction form
    162,231.75/242,001 = 242,001/x
  3. Step 3: Cross multiply
    162,231.75x = 242,001 × 242,001
  4. Step 4: Simplify right side
    162,231.75x = 58,564,484,001
  5. Step 5: Solve for x
    x = 58,564,484,001/162,231.75
  6. Step 6: Final answer
    x = 360,992.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.