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Finding the Third Proportional to 164,503 and 360,424

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Solution

The third proportional to 164,503 and 360,424 is: 789,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,503 : 360,424 = 360,424 : x
  2. Step 2: Convert to fraction form
    164,503/360,424 = 360,424/x
  3. Step 3: Cross multiply
    164,503x = 360,424 × 360,424
  4. Step 4: Simplify right side
    164,503x = 129,905,459,776
  5. Step 5: Solve for x
    x = 129,905,459,776/164,503
  6. Step 6: Final answer
    x = 789,684.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.