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Finding the Third Proportional to 242,509.75 and 367,119.50

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Solution

The third proportional to 242,509.75 and 367,119.50 is: 555,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,509.75 : 367,119.50 = 367,119.50 : x
  2. Step 2: Convert to fraction form
    242,509.75/367,119.50 = 367,119.50/x
  3. Step 3: Cross multiply
    242,509.75x = 367,119.50 × 367,119.50
  4. Step 4: Simplify right side
    242,509.75x = 134,776,727,280.25
  5. Step 5: Solve for x
    x = 134,776,727,280.25/242,509.75
  6. Step 6: Final answer
    x = 555,757.97

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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.