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Finding the Third Proportional to 119,353 and 262,702

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Solution

The third proportional to 119,353 and 262,702 is: 578,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,353 : 262,702 = 262,702 : x
  2. Step 2: Convert to fraction form
    119,353/262,702 = 262,702/x
  3. Step 3: Cross multiply
    119,353x = 262,702 × 262,702
  4. Step 4: Simplify right side
    119,353x = 69,012,340,804
  5. Step 5: Solve for x
    x = 69,012,340,804/119,353
  6. Step 6: Final answer
    x = 578,220.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.