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Finding the Third Proportional to 106,506 and 231,804

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Solution

The third proportional to 106,506 and 231,804 is: 504,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,506 : 231,804 = 231,804 : x
  2. Step 2: Convert to fraction form
    106,506/231,804 = 231,804/x
  3. Step 3: Cross multiply
    106,506x = 231,804 × 231,804
  4. Step 4: Simplify right side
    106,506x = 53,733,094,416
  5. Step 5: Solve for x
    x = 53,733,094,416/106,506
  6. Step 6: Final answer
    x = 504,507.67

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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.