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Finding the Third Proportional to 156,912 and 240,024

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Solution

The third proportional to 156,912 and 240,024 is: 367,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,912 : 240,024 = 240,024 : x
  2. Step 2: Convert to fraction form
    156,912/240,024 = 240,024/x
  3. Step 3: Cross multiply
    156,912x = 240,024 × 240,024
  4. Step 4: Simplify right side
    156,912x = 57,611,520,576
  5. Step 5: Solve for x
    x = 57,611,520,576/156,912
  6. Step 6: Final answer
    x = 367,158.16

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Why These Related Problems?

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