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Finding the Third Proportional to 98,298 and 155,892

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Solution

The third proportional to 98,298 and 155,892 is: 247,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,298 : 155,892 = 155,892 : x
  2. Step 2: Convert to fraction form
    98,298/155,892 = 155,892/x
  3. Step 3: Cross multiply
    98,298x = 155,892 × 155,892
  4. Step 4: Simplify right side
    98,298x = 24,302,315,664
  5. Step 5: Solve for x
    x = 24,302,315,664/98,298
  6. Step 6: Final answer
    x = 247,231.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.