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Finding the Third Proportional to 153,103.50 and 229,808.39

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Solution

The third proportional to 153,103.50 and 229,808.39 is: 344,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,103.50 : 229,808.39 = 229,808.39 : x
  2. Step 2: Convert to fraction form
    153,103.50/229,808.39 = 229,808.39/x
  3. Step 3: Cross multiply
    153,103.50x = 229,808.39 × 229,808.39
  4. Step 4: Simplify right side
    153,103.50x = 52,811,896,401.65
  5. Step 5: Solve for x
    x = 52,811,896,401.65/153,103.50
  6. Step 6: Final answer
    x = 344,942.45

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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.