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Finding the Third Proportional to 169,502 and 230,205

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Solution

The third proportional to 169,502 and 230,205 is: 312,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,502 : 230,205 = 230,205 : x
  2. Step 2: Convert to fraction form
    169,502/230,205 = 230,205/x
  3. Step 3: Cross multiply
    169,502x = 230,205 × 230,205
  4. Step 4: Simplify right side
    169,502x = 52,994,342,025
  5. Step 5: Solve for x
    x = 52,994,342,025/169,502
  6. Step 6: Final answer
    x = 312,647.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.