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Finding the Third Proportional to 152,672 and 230,679

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Solution

The third proportional to 152,672 and 230,679 is: 348,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,672 : 230,679 = 230,679 : x
  2. Step 2: Convert to fraction form
    152,672/230,679 = 230,679/x
  3. Step 3: Cross multiply
    152,672x = 230,679 × 230,679
  4. Step 4: Simplify right side
    152,672x = 53,212,801,041
  5. Step 5: Solve for x
    x = 53,212,801,041/152,672
  6. Step 6: Final answer
    x = 348,543.29

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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.