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Finding the Third Proportional to 239,816 and 369,048

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Solution

The third proportional to 239,816 and 369,048 is: 567,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,816 : 369,048 = 369,048 : x
  2. Step 2: Convert to fraction form
    239,816/369,048 = 369,048/x
  3. Step 3: Cross multiply
    239,816x = 369,048 × 369,048
  4. Step 4: Simplify right side
    239,816x = 136,196,426,304
  5. Step 5: Solve for x
    x = 136,196,426,304/239,816
  6. Step 6: Final answer
    x = 567,920.52

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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.