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Finding the Third Proportional to 141,392 and 207,848

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Solution

The third proportional to 141,392 and 207,848 is: 305,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,392 : 207,848 = 207,848 : x
  2. Step 2: Convert to fraction form
    141,392/207,848 = 207,848/x
  3. Step 3: Cross multiply
    141,392x = 207,848 × 207,848
  4. Step 4: Simplify right side
    141,392x = 43,200,791,104
  5. Step 5: Solve for x
    x = 43,200,791,104/141,392
  6. Step 6: Final answer
    x = 305,539.15

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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.