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Finding the Third Proportional to 257,246 and 366,952

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Solution

The third proportional to 257,246 and 366,952 is: 523,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,246 : 366,952 = 366,952 : x
  2. Step 2: Convert to fraction form
    257,246/366,952 = 366,952/x
  3. Step 3: Cross multiply
    257,246x = 366,952 × 366,952
  4. Step 4: Simplify right side
    257,246x = 134,653,770,304
  5. Step 5: Solve for x
    x = 134,653,770,304/257,246
  6. Step 6: Final answer
    x = 523,443.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.