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Finding the Third Proportional to 235,872 and 314,250.75

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Solution

The third proportional to 235,872 and 314,250.75 is: 418,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,872 : 314,250.75 = 314,250.75 : x
  2. Step 2: Convert to fraction form
    235,872/314,250.75 = 314,250.75/x
  3. Step 3: Cross multiply
    235,872x = 314,250.75 × 314,250.75
  4. Step 4: Simplify right side
    235,872x = 98,753,533,875.56
  5. Step 5: Solve for x
    x = 98,753,533,875.56/235,872
  6. Step 6: Final answer
    x = 418,674.26

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.