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Finding the Third Proportional to 170,398.13 and 267,323.63

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Solution

The third proportional to 170,398.13 and 267,323.63 is: 419,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,398.13 : 267,323.63 = 267,323.63 : x
  2. Step 2: Convert to fraction form
    170,398.13/267,323.63 = 267,323.63/x
  3. Step 3: Cross multiply
    170,398.13x = 267,323.63 × 267,323.63
  4. Step 4: Simplify right side
    170,398.13x = 71,461,920,483.14
  5. Step 5: Solve for x
    x = 71,461,920,483.14/170,398.13
  6. Step 6: Final answer
    x = 419,382.08

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.