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Finding the Third Proportional to 199,565 and 236,470

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Solution

The third proportional to 199,565 and 236,470 is: 280,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,565 : 236,470 = 236,470 : x
  2. Step 2: Convert to fraction form
    199,565/236,470 = 236,470/x
  3. Step 3: Cross multiply
    199,565x = 236,470 × 236,470
  4. Step 4: Simplify right side
    199,565x = 55,918,060,900
  5. Step 5: Solve for x
    x = 55,918,060,900/199,565
  6. Step 6: Final answer
    x = 280,199.74

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.