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Finding the Third Proportional to 170,196 and 282,671

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Solution

The third proportional to 170,196 and 282,671 is: 469,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,196 : 282,671 = 282,671 : x
  2. Step 2: Convert to fraction form
    170,196/282,671 = 282,671/x
  3. Step 3: Cross multiply
    170,196x = 282,671 × 282,671
  4. Step 4: Simplify right side
    170,196x = 79,902,894,241
  5. Step 5: Solve for x
    x = 79,902,894,241/170,196
  6. Step 6: Final answer
    x = 469,475.75

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.