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Finding the Third Proportional to 153,296 and 229,000

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Solution

The third proportional to 153,296 and 229,000 is: 342,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,296 : 229,000 = 229,000 : x
  2. Step 2: Convert to fraction form
    153,296/229,000 = 229,000/x
  3. Step 3: Cross multiply
    153,296x = 229,000 × 229,000
  4. Step 4: Simplify right side
    153,296x = 52,441,000,000
  5. Step 5: Solve for x
    x = 52,441,000,000/153,296
  6. Step 6: Final answer
    x = 342,089.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.