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Finding the Third Proportional to 240,302 and 346,145

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Solution

The third proportional to 240,302 and 346,145 is: 498,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,302 : 346,145 = 346,145 : x
  2. Step 2: Convert to fraction form
    240,302/346,145 = 346,145/x
  3. Step 3: Cross multiply
    240,302x = 346,145 × 346,145
  4. Step 4: Simplify right side
    240,302x = 119,816,361,025
  5. Step 5: Solve for x
    x = 119,816,361,025/240,302
  6. Step 6: Final answer
    x = 498,607.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.