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Finding the Third Proportional to 155,916 and 243,000

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Solution

The third proportional to 155,916 and 243,000 is: 378,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,916 : 243,000 = 243,000 : x
  2. Step 2: Convert to fraction form
    155,916/243,000 = 243,000/x
  3. Step 3: Cross multiply
    155,916x = 243,000 × 243,000
  4. Step 4: Simplify right side
    155,916x = 59,049,000,000
  5. Step 5: Solve for x
    x = 59,049,000,000/155,916
  6. Step 6: Final answer
    x = 378,723.16

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.