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Finding the Third Proportional to 153,027 and 324,238.50

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Solution

The third proportional to 153,027 and 324,238.50 is: 687,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,027 : 324,238.50 = 324,238.50 : x
  2. Step 2: Convert to fraction form
    153,027/324,238.50 = 324,238.50/x
  3. Step 3: Cross multiply
    153,027x = 324,238.50 × 324,238.50
  4. Step 4: Simplify right side
    153,027x = 105,130,604,882.25
  5. Step 5: Solve for x
    x = 105,130,604,882.25/153,027
  6. Step 6: Final answer
    x = 687,006.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.