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Finding the Third Proportional to 170,451 and 370,386

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Solution

The third proportional to 170,451 and 370,386 is: 804,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,451 : 370,386 = 370,386 : x
  2. Step 2: Convert to fraction form
    170,451/370,386 = 370,386/x
  3. Step 3: Cross multiply
    170,451x = 370,386 × 370,386
  4. Step 4: Simplify right side
    170,451x = 137,185,788,996
  5. Step 5: Solve for x
    x = 137,185,788,996/170,451
  6. Step 6: Final answer
    x = 804,840.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.