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Finding the Third Proportional to 172,074 and 370,506

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Solution

The third proportional to 172,074 and 370,506 is: 797,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,074 : 370,506 = 370,506 : x
  2. Step 2: Convert to fraction form
    172,074/370,506 = 370,506/x
  3. Step 3: Cross multiply
    172,074x = 370,506 × 370,506
  4. Step 4: Simplify right side
    172,074x = 137,274,696,036
  5. Step 5: Solve for x
    x = 137,274,696,036/172,074
  6. Step 6: Final answer
    x = 797,765.47

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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.