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Finding the Third Proportional to 216,704 and 346,048

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Solution

The third proportional to 216,704 and 346,048 is: 552,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,704 : 346,048 = 346,048 : x
  2. Step 2: Convert to fraction form
    216,704/346,048 = 346,048/x
  3. Step 3: Cross multiply
    216,704x = 346,048 × 346,048
  4. Step 4: Simplify right side
    216,704x = 119,749,218,304
  5. Step 5: Solve for x
    x = 119,749,218,304/216,704
  6. Step 6: Final answer
    x = 552,593.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.