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Finding the Third Proportional to 172,100 and 370,566

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Solution

The third proportional to 172,100 and 370,566 is: 797,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,100 : 370,566 = 370,566 : x
  2. Step 2: Convert to fraction form
    172,100/370,566 = 370,566/x
  3. Step 3: Cross multiply
    172,100x = 370,566 × 370,566
  4. Step 4: Simplify right side
    172,100x = 137,319,160,356
  5. Step 5: Solve for x
    x = 137,319,160,356/172,100
  6. Step 6: Final answer
    x = 797,903.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.