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Finding the Third Proportional to 215,434 and 460,192

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Solution

The third proportional to 215,434 and 460,192 is: 983,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,434 : 460,192 = 460,192 : x
  2. Step 2: Convert to fraction form
    215,434/460,192 = 460,192/x
  3. Step 3: Cross multiply
    215,434x = 460,192 × 460,192
  4. Step 4: Simplify right side
    215,434x = 211,776,676,864
  5. Step 5: Solve for x
    x = 211,776,676,864/215,434
  6. Step 6: Final answer
    x = 983,023.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.