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Finding the Third Proportional to 162,180 and 241,942

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Solution

The third proportional to 162,180 and 241,942 is: 360,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,180 : 241,942 = 241,942 : x
  2. Step 2: Convert to fraction form
    162,180/241,942 = 241,942/x
  3. Step 3: Cross multiply
    162,180x = 241,942 × 241,942
  4. Step 4: Simplify right side
    162,180x = 58,535,931,364
  5. Step 5: Solve for x
    x = 58,535,931,364/162,180
  6. Step 6: Final answer
    x = 360,931.87

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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.