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Finding the Third Proportional to 171,634 and 358,952

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Solution

The third proportional to 171,634 and 358,952 is: 750,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,634 : 358,952 = 358,952 : x
  2. Step 2: Convert to fraction form
    171,634/358,952 = 358,952/x
  3. Step 3: Cross multiply
    171,634x = 358,952 × 358,952
  4. Step 4: Simplify right side
    171,634x = 128,846,538,304
  5. Step 5: Solve for x
    x = 128,846,538,304/171,634
  6. Step 6: Final answer
    x = 750,705.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.