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Finding the Third Proportional to 173,360 and 258,896

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Solution

The third proportional to 173,360 and 258,896 is: 386,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,360 : 258,896 = 258,896 : x
  2. Step 2: Convert to fraction form
    173,360/258,896 = 258,896/x
  3. Step 3: Cross multiply
    173,360x = 258,896 × 258,896
  4. Step 4: Simplify right side
    173,360x = 67,027,138,816
  5. Step 5: Solve for x
    x = 67,027,138,816/173,360
  6. Step 6: Final answer
    x = 386,635.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.