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Finding the Third Proportional to 182,202 and 254,781

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Solution

The third proportional to 182,202 and 254,781 is: 356,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,202 : 254,781 = 254,781 : x
  2. Step 2: Convert to fraction form
    182,202/254,781 = 254,781/x
  3. Step 3: Cross multiply
    182,202x = 254,781 × 254,781
  4. Step 4: Simplify right side
    182,202x = 64,913,357,961
  5. Step 5: Solve for x
    x = 64,913,357,961/182,202
  6. Step 6: Final answer
    x = 356,271.38

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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.