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Finding the Third Proportional to 182,250 and 242,595

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Solution

The third proportional to 182,250 and 242,595 is: 322,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,250 : 242,595 = 242,595 : x
  2. Step 2: Convert to fraction form
    182,250/242,595 = 242,595/x
  3. Step 3: Cross multiply
    182,250x = 242,595 × 242,595
  4. Step 4: Simplify right side
    182,250x = 58,852,334,025
  5. Step 5: Solve for x
    x = 58,852,334,025/182,250
  6. Step 6: Final answer
    x = 322,920.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.