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Finding the Third Proportional to 239,376 and 364,248

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Solution

The third proportional to 239,376 and 364,248 is: 554,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,376 : 364,248 = 364,248 : x
  2. Step 2: Convert to fraction form
    239,376/364,248 = 364,248/x
  3. Step 3: Cross multiply
    239,376x = 364,248 × 364,248
  4. Step 4: Simplify right side
    239,376x = 132,676,605,504
  5. Step 5: Solve for x
    x = 132,676,605,504/239,376
  6. Step 6: Final answer
    x = 554,260.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.