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Finding the Third Proportional to 145,942 and 238,281

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Solution

The third proportional to 145,942 and 238,281 is: 389,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,942 : 238,281 = 238,281 : x
  2. Step 2: Convert to fraction form
    145,942/238,281 = 238,281/x
  3. Step 3: Cross multiply
    145,942x = 238,281 × 238,281
  4. Step 4: Simplify right side
    145,942x = 56,777,834,961
  5. Step 5: Solve for x
    x = 56,777,834,961/145,942
  6. Step 6: Final answer
    x = 389,043.83

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.