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Finding the Third Proportional to 159,283.50 and 240,965.75

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Solution

The third proportional to 159,283.50 and 240,965.75 is: 364,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,283.50 : 240,965.75 = 240,965.75 : x
  2. Step 2: Convert to fraction form
    159,283.50/240,965.75 = 240,965.75/x
  3. Step 3: Cross multiply
    159,283.50x = 240,965.75 × 240,965.75
  4. Step 4: Simplify right side
    159,283.50x = 58,064,492,673.06
  5. Step 5: Solve for x
    x = 58,064,492,673.06/159,283.50
  6. Step 6: Final answer
    x = 364,535.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.