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Finding the Third Proportional to 177,262 and 254,820

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Solution

The third proportional to 177,262 and 254,820 is: 366,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,262 : 254,820 = 254,820 : x
  2. Step 2: Convert to fraction form
    177,262/254,820 = 254,820/x
  3. Step 3: Cross multiply
    177,262x = 254,820 × 254,820
  4. Step 4: Simplify right side
    177,262x = 64,933,232,400
  5. Step 5: Solve for x
    x = 64,933,232,400/177,262
  6. Step 6: Final answer
    x = 366,312.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.