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Finding the Third Proportional to 234,843 and 314,595

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Solution

The third proportional to 234,843 and 314,595 is: 421,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,843 : 314,595 = 314,595 : x
  2. Step 2: Convert to fraction form
    234,843/314,595 = 314,595/x
  3. Step 3: Cross multiply
    234,843x = 314,595 × 314,595
  4. Step 4: Simplify right side
    234,843x = 98,970,014,025
  5. Step 5: Solve for x
    x = 98,970,014,025/234,843
  6. Step 6: Final answer
    x = 421,430.55

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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.