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Finding the Third Proportional to 170,641.50 and 374,820

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Solution

The third proportional to 170,641.50 and 374,820 is: 823,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,641.50 : 374,820 = 374,820 : x
  2. Step 2: Convert to fraction form
    170,641.50/374,820 = 374,820/x
  3. Step 3: Cross multiply
    170,641.50x = 374,820 × 374,820
  4. Step 4: Simplify right side
    170,641.50x = 140,490,032,400
  5. Step 5: Solve for x
    x = 140,490,032,400/170,641.50
  6. Step 6: Final answer
    x = 823,305.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.