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Finding the Third Proportional to 248,946 and 357,867

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Solution

The third proportional to 248,946 and 357,867 is: 514,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,946 : 357,867 = 357,867 : x
  2. Step 2: Convert to fraction form
    248,946/357,867 = 357,867/x
  3. Step 3: Cross multiply
    248,946x = 357,867 × 357,867
  4. Step 4: Simplify right side
    248,946x = 128,068,789,689
  5. Step 5: Solve for x
    x = 128,068,789,689/248,946
  6. Step 6: Final answer
    x = 514,444.05

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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.