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Finding the Third Proportional to 156,978 and 240,075

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Solution

The third proportional to 156,978 and 240,075 is: 367,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978 : 240,075 = 240,075 : x
  2. Step 2: Convert to fraction form
    156,978/240,075 = 240,075/x
  3. Step 3: Cross multiply
    156,978x = 240,075 × 240,075
  4. Step 4: Simplify right side
    156,978x = 57,636,005,625
  5. Step 5: Solve for x
    x = 57,636,005,625/156,978
  6. Step 6: Final answer
    x = 367,159.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.