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Finding the Third Proportional to 248,956 and 357,882

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Solution

The third proportional to 248,956 and 357,882 is: 514,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,956 : 357,882 = 357,882 : x
  2. Step 2: Convert to fraction form
    248,956/357,882 = 357,882/x
  3. Step 3: Cross multiply
    248,956x = 357,882 × 357,882
  4. Step 4: Simplify right side
    248,956x = 128,079,525,924
  5. Step 5: Solve for x
    x = 128,079,525,924/248,956
  6. Step 6: Final answer
    x = 514,466.52

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