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Finding the Third Proportional to 173,850 and 363,820

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Solution

The third proportional to 173,850 and 363,820 is: 761,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,850 : 363,820 = 363,820 : x
  2. Step 2: Convert to fraction form
    173,850/363,820 = 363,820/x
  3. Step 3: Cross multiply
    173,850x = 363,820 × 363,820
  4. Step 4: Simplify right side
    173,850x = 132,364,992,400
  5. Step 5: Solve for x
    x = 132,364,992,400/173,850
  6. Step 6: Final answer
    x = 761,374.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.