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Finding the Third Proportional to 181,314 and 254,877

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Solution

The third proportional to 181,314 and 254,877 is: 358,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,314 : 254,877 = 254,877 : x
  2. Step 2: Convert to fraction form
    181,314/254,877 = 254,877/x
  3. Step 3: Cross multiply
    181,314x = 254,877 × 254,877
  4. Step 4: Simplify right side
    181,314x = 64,962,285,129
  5. Step 5: Solve for x
    x = 64,962,285,129/181,314
  6. Step 6: Final answer
    x = 358,286.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.