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Finding the Third Proportional to 234,846 and 314,617.50

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Solution

The third proportional to 234,846 and 314,617.50 is: 421,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,846 : 314,617.50 = 314,617.50 : x
  2. Step 2: Convert to fraction form
    234,846/314,617.50 = 314,617.50/x
  3. Step 3: Cross multiply
    234,846x = 314,617.50 × 314,617.50
  4. Step 4: Simplify right side
    234,846x = 98,984,171,306.25
  5. Step 5: Solve for x
    x = 98,984,171,306.25/234,846
  6. Step 6: Final answer
    x = 421,485.45

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.