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Finding the Third Proportional to 153,000 and 229,500

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Solution

The third proportional to 153,000 and 229,500 is: 344,250

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,000 : 229,500 = 229,500 : x
  2. Step 2: Convert to fraction form
    153,000/229,500 = 229,500/x
  3. Step 3: Cross multiply
    153,000x = 229,500 × 229,500
  4. Step 4: Simplify right side
    153,000x = 52,670,250,000
  5. Step 5: Solve for x
    x = 52,670,250,000/153,000
  6. Step 6: Final answer
    x = 344,250

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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.