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Finding the Third Proportional to 159,072 and 243,600

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Solution

The third proportional to 159,072 and 243,600 is: 373,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,072 : 243,600 = 243,600 : x
  2. Step 2: Convert to fraction form
    159,072/243,600 = 243,600/x
  3. Step 3: Cross multiply
    159,072x = 243,600 × 243,600
  4. Step 4: Simplify right side
    159,072x = 59,340,960,000
  5. Step 5: Solve for x
    x = 59,340,960,000/159,072
  6. Step 6: Final answer
    x = 373,044.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.