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Finding the Third Proportional to 248,958 and 357,885

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Solution

The third proportional to 248,958 and 357,885 is: 514,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,958 : 357,885 = 357,885 : x
  2. Step 2: Convert to fraction form
    248,958/357,885 = 357,885/x
  3. Step 3: Cross multiply
    248,958x = 357,885 × 357,885
  4. Step 4: Simplify right side
    248,958x = 128,081,673,225
  5. Step 5: Solve for x
    x = 128,081,673,225/248,958
  6. Step 6: Final answer
    x = 514,471.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.