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Finding the Third Proportional to 139,241.50 and 304,565

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Solution

The third proportional to 139,241.50 and 304,565 is: 666,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,241.50 : 304,565 = 304,565 : x
  2. Step 2: Convert to fraction form
    139,241.50/304,565 = 304,565/x
  3. Step 3: Cross multiply
    139,241.50x = 304,565 × 304,565
  4. Step 4: Simplify right side
    139,241.50x = 92,759,839,225
  5. Step 5: Solve for x
    x = 92,759,839,225/139,241.50
  6. Step 6: Final answer
    x = 666,179.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.