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Finding the Third Proportional to 195,637.50 and 310,965.75

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Solution

The third proportional to 195,637.50 and 310,965.75 is: 494,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,637.50 : 310,965.75 = 310,965.75 : x
  2. Step 2: Convert to fraction form
    195,637.50/310,965.75 = 310,965.75/x
  3. Step 3: Cross multiply
    195,637.50x = 310,965.75 × 310,965.75
  4. Step 4: Simplify right side
    195,637.50x = 96,699,697,673.06
  5. Step 5: Solve for x
    x = 96,699,697,673.06/195,637.50
  6. Step 6: Final answer
    x = 494,279.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.