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Finding the Third Proportional to 178,598 and 243,216

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Solution

The third proportional to 178,598 and 243,216 is: 331,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,598 : 243,216 = 243,216 : x
  2. Step 2: Convert to fraction form
    178,598/243,216 = 243,216/x
  3. Step 3: Cross multiply
    178,598x = 243,216 × 243,216
  4. Step 4: Simplify right side
    178,598x = 59,154,022,656
  5. Step 5: Solve for x
    x = 59,154,022,656/178,598
  6. Step 6: Final answer
    x = 331,213.24

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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.