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Finding the Third Proportional to 153,704 and 230,556

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Solution

The third proportional to 153,704 and 230,556 is: 345,834

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,704 : 230,556 = 230,556 : x
  2. Step 2: Convert to fraction form
    153,704/230,556 = 230,556/x
  3. Step 3: Cross multiply
    153,704x = 230,556 × 230,556
  4. Step 4: Simplify right side
    153,704x = 53,156,069,136
  5. Step 5: Solve for x
    x = 53,156,069,136/153,704
  6. Step 6: Final answer
    x = 345,834

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.