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Finding the Third Proportional to 171,726.75 and 380,952

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Solution

The third proportional to 171,726.75 and 380,952 is: 845,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,726.75 : 380,952 = 380,952 : x
  2. Step 2: Convert to fraction form
    171,726.75/380,952 = 380,952/x
  3. Step 3: Cross multiply
    171,726.75x = 380,952 × 380,952
  4. Step 4: Simplify right side
    171,726.75x = 145,124,426,304
  5. Step 5: Solve for x
    x = 145,124,426,304/171,726.75
  6. Step 6: Final answer
    x = 845,089.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.