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Finding the Third Proportional to 162,948 and 247,548

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Solution

The third proportional to 162,948 and 247,548 is: 376,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,948 : 247,548 = 247,548 : x
  2. Step 2: Convert to fraction form
    162,948/247,548 = 247,548/x
  3. Step 3: Cross multiply
    162,948x = 247,548 × 247,548
  4. Step 4: Simplify right side
    162,948x = 61,280,012,304
  5. Step 5: Solve for x
    x = 61,280,012,304/162,948
  6. Step 6: Final answer
    x = 376,070.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.