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Finding the Third Proportional to 147,608.50 and 234,988.13

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Solution

The third proportional to 147,608.50 and 234,988.13 is: 374,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,608.50 : 234,988.13 = 234,988.13 : x
  2. Step 2: Convert to fraction form
    147,608.50/234,988.13 = 234,988.13/x
  3. Step 3: Cross multiply
    147,608.50x = 234,988.13 × 234,988.13
  4. Step 4: Simplify right side
    147,608.50x = 55,219,418,891.02
  5. Step 5: Solve for x
    x = 55,219,418,891.02/147,608.50
  6. Step 6: Final answer
    x = 374,093.76

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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.