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Finding the Third Proportional to 234,834 and 314,580

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Solution

The third proportional to 234,834 and 314,580 is: 421,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,834 : 314,580 = 314,580 : x
  2. Step 2: Convert to fraction form
    234,834/314,580 = 314,580/x
  3. Step 3: Cross multiply
    234,834x = 314,580 × 314,580
  4. Step 4: Simplify right side
    234,834x = 98,960,576,400
  5. Step 5: Solve for x
    x = 98,960,576,400/234,834
  6. Step 6: Final answer
    x = 421,406.51

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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.