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Finding the Third Proportional to 216,335 and 322,702

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Solution

The third proportional to 216,335 and 322,702 is: 481,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,335 : 322,702 = 322,702 : x
  2. Step 2: Convert to fraction form
    216,335/322,702 = 322,702/x
  3. Step 3: Cross multiply
    216,335x = 322,702 × 322,702
  4. Step 4: Simplify right side
    216,335x = 104,136,580,804
  5. Step 5: Solve for x
    x = 104,136,580,804/216,335
  6. Step 6: Final answer
    x = 481,367.24

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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.