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Finding the Third Proportional to 175,890 and 425,141

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Solution

The third proportional to 175,890 and 425,141 is: 1,027,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,890 : 425,141 = 425,141 : x
  2. Step 2: Convert to fraction form
    175,890/425,141 = 425,141/x
  3. Step 3: Cross multiply
    175,890x = 425,141 × 425,141
  4. Step 4: Simplify right side
    175,890x = 180,744,869,881
  5. Step 5: Solve for x
    x = 180,744,869,881/175,890
  6. Step 6: Final answer
    x = 1,027,601.74

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.