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Finding the Third Proportional to 106,528 and 231,652

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Solution

The third proportional to 106,528 and 231,652 is: 503,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,528 : 231,652 = 231,652 : x
  2. Step 2: Convert to fraction form
    106,528/231,652 = 231,652/x
  3. Step 3: Cross multiply
    106,528x = 231,652 × 231,652
  4. Step 4: Simplify right side
    106,528x = 53,662,649,104
  5. Step 5: Solve for x
    x = 53,662,649,104/106,528
  6. Step 6: Final answer
    x = 503,742.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.