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Finding the Third Proportional to 234,011.50 and 371,946

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Solution

The third proportional to 234,011.50 and 371,946 is: 591,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,011.50 : 371,946 = 371,946 : x
  2. Step 2: Convert to fraction form
    234,011.50/371,946 = 371,946/x
  3. Step 3: Cross multiply
    234,011.50x = 371,946 × 371,946
  4. Step 4: Simplify right side
    234,011.50x = 138,343,826,916
  5. Step 5: Solve for x
    x = 138,343,826,916/234,011.50
  6. Step 6: Final answer
    x = 591,183.88

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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.