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Finding the Third Proportional to 243,702 and 325,998

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Solution

The third proportional to 243,702 and 325,998 is: 436,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,702 : 325,998 = 325,998 : x
  2. Step 2: Convert to fraction form
    243,702/325,998 = 325,998/x
  3. Step 3: Cross multiply
    243,702x = 325,998 × 325,998
  4. Step 4: Simplify right side
    243,702x = 106,274,696,004
  5. Step 5: Solve for x
    x = 106,274,696,004/243,702
  6. Step 6: Final answer
    x = 436,084.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.