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Finding the Third Proportional to 172,973.25 and 375,471

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Solution

The third proportional to 172,973.25 and 375,471 is: 815,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,973.25 : 375,471 = 375,471 : x
  2. Step 2: Convert to fraction form
    172,973.25/375,471 = 375,471/x
  3. Step 3: Cross multiply
    172,973.25x = 375,471 × 375,471
  4. Step 4: Simplify right side
    172,973.25x = 140,978,471,841
  5. Step 5: Solve for x
    x = 140,978,471,841/172,973.25
  6. Step 6: Final answer
    x = 815,030.49

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