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Finding the Third Proportional to 150,595.50 and 242,175

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Solution

The third proportional to 150,595.50 and 242,175 is: 389,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,595.50 : 242,175 = 242,175 : x
  2. Step 2: Convert to fraction form
    150,595.50/242,175 = 242,175/x
  3. Step 3: Cross multiply
    150,595.50x = 242,175 × 242,175
  4. Step 4: Simplify right side
    150,595.50x = 58,648,730,625
  5. Step 5: Solve for x
    x = 58,648,730,625/150,595.50
  6. Step 6: Final answer
    x = 389,445.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.