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Finding the Third Proportional to 185,724 and 262,548

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Solution

The third proportional to 185,724 and 262,548 is: 371,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,724 : 262,548 = 262,548 : x
  2. Step 2: Convert to fraction form
    185,724/262,548 = 262,548/x
  3. Step 3: Cross multiply
    185,724x = 262,548 × 262,548
  4. Step 4: Simplify right side
    185,724x = 68,931,452,304
  5. Step 5: Solve for x
    x = 68,931,452,304/185,724
  6. Step 6: Final answer
    x = 371,149.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.