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Finding the Third Proportional to 175,068 and 274,341.75

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Solution

The third proportional to 175,068 and 274,341.75 is: 429,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,068 : 274,341.75 = 274,341.75 : x
  2. Step 2: Convert to fraction form
    175,068/274,341.75 = 274,341.75/x
  3. Step 3: Cross multiply
    175,068x = 274,341.75 × 274,341.75
  4. Step 4: Simplify right side
    175,068x = 75,263,395,793.06
  5. Step 5: Solve for x
    x = 75,263,395,793.06/175,068
  6. Step 6: Final answer
    x = 429,909.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.