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Finding the Third Proportional to 229,750 and 346,809

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Solution

The third proportional to 229,750 and 346,809 is: 523,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,750 : 346,809 = 346,809 : x
  2. Step 2: Convert to fraction form
    229,750/346,809 = 346,809/x
  3. Step 3: Cross multiply
    229,750x = 346,809 × 346,809
  4. Step 4: Simplify right side
    229,750x = 120,276,482,481
  5. Step 5: Solve for x
    x = 120,276,482,481/229,750
  6. Step 6: Final answer
    x = 523,510.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.