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Finding the Third Proportional to 354,151 and 534,190

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Solution

The third proportional to 354,151 and 534,190 is: 805,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,151 : 534,190 = 534,190 : x
  2. Step 2: Convert to fraction form
    354,151/534,190 = 534,190/x
  3. Step 3: Cross multiply
    354,151x = 534,190 × 534,190
  4. Step 4: Simplify right side
    354,151x = 285,358,956,100
  5. Step 5: Solve for x
    x = 285,358,956,100/354,151
  6. Step 6: Final answer
    x = 805,755.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.