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Finding the Third Proportional to 142,441 and 332,773

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Solution

The third proportional to 142,441 and 332,773 is: 777,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,441 : 332,773 = 332,773 : x
  2. Step 2: Convert to fraction form
    142,441/332,773 = 332,773/x
  3. Step 3: Cross multiply
    142,441x = 332,773 × 332,773
  4. Step 4: Simplify right side
    142,441x = 110,737,869,529
  5. Step 5: Solve for x
    x = 110,737,869,529/142,441
  6. Step 6: Final answer
    x = 777,429.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.