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Finding the Third Proportional to 143,506 and 298,814

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Solution

The third proportional to 143,506 and 298,814 is: 622,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,506 : 298,814 = 298,814 : x
  2. Step 2: Convert to fraction form
    143,506/298,814 = 298,814/x
  3. Step 3: Cross multiply
    143,506x = 298,814 × 298,814
  4. Step 4: Simplify right side
    143,506x = 89,289,806,596
  5. Step 5: Solve for x
    x = 89,289,806,596/143,506
  6. Step 6: Final answer
    x = 622,202.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.