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Finding the Third Proportional to 107,069 and 233,200

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Solution

The third proportional to 107,069 and 233,200 is: 507,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,069 : 233,200 = 233,200 : x
  2. Step 2: Convert to fraction form
    107,069/233,200 = 233,200/x
  3. Step 3: Cross multiply
    107,069x = 233,200 × 233,200
  4. Step 4: Simplify right side
    107,069x = 54,382,240,000
  5. Step 5: Solve for x
    x = 54,382,240,000/107,069
  6. Step 6: Final answer
    x = 507,917.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.