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Finding the Third Proportional to 195,602 and 289,850

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Solution

The third proportional to 195,602 and 289,850 is: 429,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,602 : 289,850 = 289,850 : x
  2. Step 2: Convert to fraction form
    195,602/289,850 = 289,850/x
  3. Step 3: Cross multiply
    195,602x = 289,850 × 289,850
  4. Step 4: Simplify right side
    195,602x = 84,013,022,500
  5. Step 5: Solve for x
    x = 84,013,022,500/195,602
  6. Step 6: Final answer
    x = 429,510.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.