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Finding the Third Proportional to 170,865 and 374,638.50

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Solution

The third proportional to 170,865 and 374,638.50 is: 821,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,865 : 374,638.50 = 374,638.50 : x
  2. Step 2: Convert to fraction form
    170,865/374,638.50 = 374,638.50/x
  3. Step 3: Cross multiply
    170,865x = 374,638.50 × 374,638.50
  4. Step 4: Simplify right side
    170,865x = 140,354,005,682.25
  5. Step 5: Solve for x
    x = 140,354,005,682.25/170,865
  6. Step 6: Final answer
    x = 821,432.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.