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Finding the Third Proportional to 97,399.50 and 238,569

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Solution

The third proportional to 97,399.50 and 238,569 is: 584,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,399.50 : 238,569 = 238,569 : x
  2. Step 2: Convert to fraction form
    97,399.50/238,569 = 238,569/x
  3. Step 3: Cross multiply
    97,399.50x = 238,569 × 238,569
  4. Step 4: Simplify right side
    97,399.50x = 56,915,167,761
  5. Step 5: Solve for x
    x = 56,915,167,761/97,399.50
  6. Step 6: Final answer
    x = 584,347.64

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.