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Finding the Third Proportional to 174,871.50 and 374,549.50

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Solution

The third proportional to 174,871.50 and 374,549.50 is: 802,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,871.50 : 374,549.50 = 374,549.50 : x
  2. Step 2: Convert to fraction form
    174,871.50/374,549.50 = 374,549.50/x
  3. Step 3: Cross multiply
    174,871.50x = 374,549.50 × 374,549.50
  4. Step 4: Simplify right side
    174,871.50x = 140,287,327,950.25
  5. Step 5: Solve for x
    x = 140,287,327,950.25/174,871.50
  6. Step 6: Final answer
    x = 802,230.94

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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.