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Finding the Third Proportional to 184,776 and 398,048

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Solution

The third proportional to 184,776 and 398,048 is: 857,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,776 : 398,048 = 398,048 : x
  2. Step 2: Convert to fraction form
    184,776/398,048 = 398,048/x
  3. Step 3: Cross multiply
    184,776x = 398,048 × 398,048
  4. Step 4: Simplify right side
    184,776x = 158,442,210,304
  5. Step 5: Solve for x
    x = 158,442,210,304/184,776
  6. Step 6: Final answer
    x = 857,482.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.