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Finding the Third Proportional to 238,218.75 and 368,581.50

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Solution

The third proportional to 238,218.75 and 368,581.50 is: 570,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,218.75 : 368,581.50 = 368,581.50 : x
  2. Step 2: Convert to fraction form
    238,218.75/368,581.50 = 368,581.50/x
  3. Step 3: Cross multiply
    238,218.75x = 368,581.50 × 368,581.50
  4. Step 4: Simplify right side
    238,218.75x = 135,852,322,142.25
  5. Step 5: Solve for x
    x = 135,852,322,142.25/238,218.75
  6. Step 6: Final answer
    x = 570,283.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.