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Finding the Third Proportional to 125,208.70 and 295,270.10

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Solution

The third proportional to 125,208.70 and 295,270.10 is: 696,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,208.70 : 295,270.10 = 295,270.10 : x
  2. Step 2: Convert to fraction form
    125,208.70/295,270.10 = 295,270.10/x
  3. Step 3: Cross multiply
    125,208.70x = 295,270.10 × 295,270.10
  4. Step 4: Simplify right side
    125,208.70x = 87,184,432,876.73
  5. Step 5: Solve for x
    x = 87,184,432,876.73/125,208.70
  6. Step 6: Final answer
    x = 696,312.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.