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Finding the Third Proportional to 162,570 and 221,475

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Solution

The third proportional to 162,570 and 221,475 is: 301,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,570 : 221,475 = 221,475 : x
  2. Step 2: Convert to fraction form
    162,570/221,475 = 221,475/x
  3. Step 3: Cross multiply
    162,570x = 221,475 × 221,475
  4. Step 4: Simplify right side
    162,570x = 49,051,175,625
  5. Step 5: Solve for x
    x = 49,051,175,625/162,570
  6. Step 6: Final answer
    x = 301,723.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.