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Finding the Third Proportional to 182,548 and 280,470

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Solution

The third proportional to 182,548 and 280,470 is: 430,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,548 : 280,470 = 280,470 : x
  2. Step 2: Convert to fraction form
    182,548/280,470 = 280,470/x
  3. Step 3: Cross multiply
    182,548x = 280,470 × 280,470
  4. Step 4: Simplify right side
    182,548x = 78,663,420,900
  5. Step 5: Solve for x
    x = 78,663,420,900/182,548
  6. Step 6: Final answer
    x = 430,919.11

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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.