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Finding the Third Proportional to 174,949.88 and 374,773.50

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Solution

The third proportional to 174,949.88 and 374,773.50 is: 802,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,949.88 : 374,773.50 = 374,773.50 : x
  2. Step 2: Convert to fraction form
    174,949.88/374,773.50 = 374,773.50/x
  3. Step 3: Cross multiply
    174,949.88x = 374,773.50 × 374,773.50
  4. Step 4: Simplify right side
    174,949.88x = 140,455,176,302.25
  5. Step 5: Solve for x
    x = 140,455,176,302.25/174,949.88
  6. Step 6: Final answer
    x = 802,830.96

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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.