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Finding the Third Proportional to 216,342 and 322,712

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Solution

The third proportional to 216,342 and 322,712 is: 481,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,342 : 322,712 = 322,712 : x
  2. Step 2: Convert to fraction form
    216,342/322,712 = 322,712/x
  3. Step 3: Cross multiply
    216,342x = 322,712 × 322,712
  4. Step 4: Simplify right side
    216,342x = 104,143,034,944
  5. Step 5: Solve for x
    x = 104,143,034,944/216,342
  6. Step 6: Final answer
    x = 481,381.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.