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Finding the Third Proportional to 229,770 and 346,761

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Solution

The third proportional to 229,770 and 346,761 is: 523,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,770 : 346,761 = 346,761 : x
  2. Step 2: Convert to fraction form
    229,770/346,761 = 346,761/x
  3. Step 3: Cross multiply
    229,770x = 346,761 × 346,761
  4. Step 4: Simplify right side
    229,770x = 120,243,191,121
  5. Step 5: Solve for x
    x = 120,243,191,121/229,770
  6. Step 6: Final answer
    x = 523,319.80

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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.