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Finding the Third Proportional to 231,642 and 348,019.50

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Solution

The third proportional to 231,642 and 348,019.50 is: 522,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,642 : 348,019.50 = 348,019.50 : x
  2. Step 2: Convert to fraction form
    231,642/348,019.50 = 348,019.50/x
  3. Step 3: Cross multiply
    231,642x = 348,019.50 × 348,019.50
  4. Step 4: Simplify right side
    231,642x = 121,117,572,380.25
  5. Step 5: Solve for x
    x = 121,117,572,380.25/231,642
  6. Step 6: Final answer
    x = 522,865.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.