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Finding the Third Proportional to 234,848 and 314,620

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Solution

The third proportional to 234,848 and 314,620 is: 421,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,848 : 314,620 = 314,620 : x
  2. Step 2: Convert to fraction form
    234,848/314,620 = 314,620/x
  3. Step 3: Cross multiply
    234,848x = 314,620 × 314,620
  4. Step 4: Simplify right side
    234,848x = 98,985,744,400
  5. Step 5: Solve for x
    x = 98,985,744,400/234,848
  6. Step 6: Final answer
    x = 421,488.56

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Why These Related Problems?

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