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Finding the Third Proportional to 250,974 and 368,091

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Solution

The third proportional to 250,974 and 368,091 is: 539,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,974 : 368,091 = 368,091 : x
  2. Step 2: Convert to fraction form
    250,974/368,091 = 368,091/x
  3. Step 3: Cross multiply
    250,974x = 368,091 × 368,091
  4. Step 4: Simplify right side
    250,974x = 135,490,984,281
  5. Step 5: Solve for x
    x = 135,490,984,281/250,974
  6. Step 6: Final answer
    x = 539,860.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.