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Finding the Third Proportional to 175,209.75 and 274,492.88

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Solution

The third proportional to 175,209.75 and 274,492.88 is: 430,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,209.75 : 274,492.88 = 274,492.88 : x
  2. Step 2: Convert to fraction form
    175,209.75/274,492.88 = 274,492.88/x
  3. Step 3: Cross multiply
    175,209.75x = 274,492.88 × 274,492.88
  4. Step 4: Simplify right side
    175,209.75x = 75,346,338,425.77
  5. Step 5: Solve for x
    x = 75,346,338,425.77/175,209.75
  6. Step 6: Final answer
    x = 430,035.08

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Why These Related Problems?

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