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Finding the Third Proportional to 106,330.50 and 231,237

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Solution

The third proportional to 106,330.50 and 231,237 is: 502,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,330.50 : 231,237 = 231,237 : x
  2. Step 2: Convert to fraction form
    106,330.50/231,237 = 231,237/x
  3. Step 3: Cross multiply
    106,330.50x = 231,237 × 231,237
  4. Step 4: Simplify right side
    106,330.50x = 53,470,550,169
  5. Step 5: Solve for x
    x = 53,470,550,169/106,330.50
  6. Step 6: Final answer
    x = 502,871.24

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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.