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Finding the Third Proportional to 113,474 and 170,283

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Solution

The third proportional to 113,474 and 170,283 is: 255,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,474 : 170,283 = 170,283 : x
  2. Step 2: Convert to fraction form
    113,474/170,283 = 170,283/x
  3. Step 3: Cross multiply
    113,474x = 170,283 × 170,283
  4. Step 4: Simplify right side
    113,474x = 28,996,300,089
  5. Step 5: Solve for x
    x = 28,996,300,089/113,474
  6. Step 6: Final answer
    x = 255,532.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.