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Finding the Third Proportional to 170,434 and 252,370

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Solution

The third proportional to 170,434 and 252,370 is: 373,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,434 : 252,370 = 252,370 : x
  2. Step 2: Convert to fraction form
    170,434/252,370 = 252,370/x
  3. Step 3: Cross multiply
    170,434x = 252,370 × 252,370
  4. Step 4: Simplify right side
    170,434x = 63,690,616,900
  5. Step 5: Solve for x
    x = 63,690,616,900/170,434
  6. Step 6: Final answer
    x = 373,696.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.