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Finding the Third Proportional to 182,172 and 254,746

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Solution

The third proportional to 182,172 and 254,746 is: 356,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,172 : 254,746 = 254,746 : x
  2. Step 2: Convert to fraction form
    182,172/254,746 = 254,746/x
  3. Step 3: Cross multiply
    182,172x = 254,746 × 254,746
  4. Step 4: Simplify right side
    182,172x = 64,895,524,516
  5. Step 5: Solve for x
    x = 64,895,524,516/182,172
  6. Step 6: Final answer
    x = 356,232.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.