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Finding the Third Proportional to 106,241 and 232,084

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Solution

The third proportional to 106,241 and 232,084 is: 506,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,241 : 232,084 = 232,084 : x
  2. Step 2: Convert to fraction form
    106,241/232,084 = 232,084/x
  3. Step 3: Cross multiply
    106,241x = 232,084 × 232,084
  4. Step 4: Simplify right side
    106,241x = 53,862,983,056
  5. Step 5: Solve for x
    x = 53,862,983,056/106,241
  6. Step 6: Final answer
    x = 506,988.67

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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.