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Finding the Third Proportional to 156,024 and 234,039

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Solution

The third proportional to 156,024 and 234,039 is: 351,063.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,024 : 234,039 = 234,039 : x
  2. Step 2: Convert to fraction form
    156,024/234,039 = 234,039/x
  3. Step 3: Cross multiply
    156,024x = 234,039 × 234,039
  4. Step 4: Simplify right side
    156,024x = 54,774,253,521
  5. Step 5: Solve for x
    x = 54,774,253,521/156,024
  6. Step 6: Final answer
    x = 351,063.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.