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Finding the Third Proportional to 147,616.50 and 234,999

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Solution

The third proportional to 147,616.50 and 234,999 is: 374,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,616.50 : 234,999 = 234,999 : x
  2. Step 2: Convert to fraction form
    147,616.50/234,999 = 234,999/x
  3. Step 3: Cross multiply
    147,616.50x = 234,999 × 234,999
  4. Step 4: Simplify right side
    147,616.50x = 55,224,530,001
  5. Step 5: Solve for x
    x = 55,224,530,001/147,616.50
  6. Step 6: Final answer
    x = 374,108.11

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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.