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Finding the Third Proportional to 182,310 and 279,848

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Solution

The third proportional to 182,310 and 279,848 is: 429,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,310 : 279,848 = 279,848 : x
  2. Step 2: Convert to fraction form
    182,310/279,848 = 279,848/x
  3. Step 3: Cross multiply
    182,310x = 279,848 × 279,848
  4. Step 4: Simplify right side
    182,310x = 78,314,903,104
  5. Step 5: Solve for x
    x = 78,314,903,104/182,310
  6. Step 6: Final answer
    x = 429,569.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.