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Finding the Third Proportional to 173,895 and 366,468.75

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Solution

The third proportional to 173,895 and 366,468.75 is: 772,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,895 : 366,468.75 = 366,468.75 : x
  2. Step 2: Convert to fraction form
    173,895/366,468.75 = 366,468.75/x
  3. Step 3: Cross multiply
    173,895x = 366,468.75 × 366,468.75
  4. Step 4: Simplify right side
    173,895x = 134,299,344,726.56
  5. Step 5: Solve for x
    x = 134,299,344,726.56/173,895
  6. Step 6: Final answer
    x = 772,301.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.