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Finding the Third Proportional to 242,667 and 372,451.50

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Solution

The third proportional to 242,667 and 372,451.50 is: 571,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,667 : 372,451.50 = 372,451.50 : x
  2. Step 2: Convert to fraction form
    242,667/372,451.50 = 372,451.50/x
  3. Step 3: Cross multiply
    242,667x = 372,451.50 × 372,451.50
  4. Step 4: Simplify right side
    242,667x = 138,720,119,852.25
  5. Step 5: Solve for x
    x = 138,720,119,852.25/242,667
  6. Step 6: Final answer
    x = 571,648.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.