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Finding the Third Proportional to 156,916 and 240,081

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Solution

The third proportional to 156,916 and 240,081 is: 367,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,916 : 240,081 = 240,081 : x
  2. Step 2: Convert to fraction form
    156,916/240,081 = 240,081/x
  3. Step 3: Cross multiply
    156,916x = 240,081 × 240,081
  4. Step 4: Simplify right side
    156,916x = 57,638,886,561
  5. Step 5: Solve for x
    x = 57,638,886,561/156,916
  6. Step 6: Final answer
    x = 367,323.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.