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Finding the Third Proportional to 234,783 and 314,532

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Solution

The third proportional to 234,783 and 314,532 is: 421,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,783 : 314,532 = 314,532 : x
  2. Step 2: Convert to fraction form
    234,783/314,532 = 314,532/x
  3. Step 3: Cross multiply
    234,783x = 314,532 × 314,532
  4. Step 4: Simplify right side
    234,783x = 98,930,379,024
  5. Step 5: Solve for x
    x = 98,930,379,024/234,783
  6. Step 6: Final answer
    x = 421,369.43

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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.