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Finding the Third Proportional to 173,250 and 233,577

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Solution

The third proportional to 173,250 and 233,577 is: 314,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,250 : 233,577 = 233,577 : x
  2. Step 2: Convert to fraction form
    173,250/233,577 = 233,577/x
  3. Step 3: Cross multiply
    173,250x = 233,577 × 233,577
  4. Step 4: Simplify right side
    173,250x = 54,558,214,929
  5. Step 5: Solve for x
    x = 54,558,214,929/173,250
  6. Step 6: Final answer
    x = 314,910.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.