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Finding the Third Proportional to 203,220 and 316,459.75

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Solution

The third proportional to 203,220 and 316,459.75 is: 492,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,220 : 316,459.75 = 316,459.75 : x
  2. Step 2: Convert to fraction form
    203,220/316,459.75 = 316,459.75/x
  3. Step 3: Cross multiply
    203,220x = 316,459.75 × 316,459.75
  4. Step 4: Simplify right side
    203,220x = 100,146,773,370.06
  5. Step 5: Solve for x
    x = 100,146,773,370.06/203,220
  6. Step 6: Final answer
    x = 492,799.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.