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Finding the Third Proportional to 230,836 and 360,834

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Solution

The third proportional to 230,836 and 360,834 is: 564,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,836 : 360,834 = 360,834 : x
  2. Step 2: Convert to fraction form
    230,836/360,834 = 360,834/x
  3. Step 3: Cross multiply
    230,836x = 360,834 × 360,834
  4. Step 4: Simplify right side
    230,836x = 130,201,175,556
  5. Step 5: Solve for x
    x = 130,201,175,556/230,836
  6. Step 6: Final answer
    x = 564,041.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.