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Finding the Third Proportional to 153,069 and 230,187

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Solution

The third proportional to 153,069 and 230,187 is: 346,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,069 : 230,187 = 230,187 : x
  2. Step 2: Convert to fraction form
    153,069/230,187 = 230,187/x
  3. Step 3: Cross multiply
    153,069x = 230,187 × 230,187
  4. Step 4: Simplify right side
    153,069x = 52,986,054,969
  5. Step 5: Solve for x
    x = 52,986,054,969/153,069
  6. Step 6: Final answer
    x = 346,157.97

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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.