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Finding the Third Proportional to 162,938 and 250,731

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Solution

The third proportional to 162,938 and 250,731 is: 385,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,938 : 250,731 = 250,731 : x
  2. Step 2: Convert to fraction form
    162,938/250,731 = 250,731/x
  3. Step 3: Cross multiply
    162,938x = 250,731 × 250,731
  4. Step 4: Simplify right side
    162,938x = 62,866,034,361
  5. Step 5: Solve for x
    x = 62,866,034,361/162,938
  6. Step 6: Final answer
    x = 385,827.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.