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Finding the Third Proportional to 239,814 and 369,045

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Solution

The third proportional to 239,814 and 369,045 is: 567,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,814 : 369,045 = 369,045 : x
  2. Step 2: Convert to fraction form
    239,814/369,045 = 369,045/x
  3. Step 3: Cross multiply
    239,814x = 369,045 × 369,045
  4. Step 4: Simplify right side
    239,814x = 136,194,212,025
  5. Step 5: Solve for x
    x = 136,194,212,025/239,814
  6. Step 6: Final answer
    x = 567,916.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.