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Finding the Third Proportional to 132,541.50 and 284,859

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Solution

The third proportional to 132,541.50 and 284,859 is: 612,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,541.50 : 284,859 = 284,859 : x
  2. Step 2: Convert to fraction form
    132,541.50/284,859 = 284,859/x
  3. Step 3: Cross multiply
    132,541.50x = 284,859 × 284,859
  4. Step 4: Simplify right side
    132,541.50x = 81,144,649,881
  5. Step 5: Solve for x
    x = 81,144,649,881/132,541.50
  6. Step 6: Final answer
    x = 612,220.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.