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Finding the Third Proportional to 174,700.50 and 374,331

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Solution

The third proportional to 174,700.50 and 374,331 is: 802,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,700.50 : 374,331 = 374,331 : x
  2. Step 2: Convert to fraction form
    174,700.50/374,331 = 374,331/x
  3. Step 3: Cross multiply
    174,700.50x = 374,331 × 374,331
  4. Step 4: Simplify right side
    174,700.50x = 140,123,697,561
  5. Step 5: Solve for x
    x = 140,123,697,561/174,700.50
  6. Step 6: Final answer
    x = 802,079.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.