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Finding the Third Proportional to 242,114 and 400,131

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Solution

The third proportional to 242,114 and 400,131 is: 661,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,114 : 400,131 = 400,131 : x
  2. Step 2: Convert to fraction form
    242,114/400,131 = 400,131/x
  3. Step 3: Cross multiply
    242,114x = 400,131 × 400,131
  4. Step 4: Simplify right side
    242,114x = 160,104,817,161
  5. Step 5: Solve for x
    x = 160,104,817,161/242,114
  6. Step 6: Final answer
    x = 661,278.64

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.