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Finding the Third Proportional to 238,932 and 353,871

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Solution

The third proportional to 238,932 and 353,871 is: 524,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,932 : 353,871 = 353,871 : x
  2. Step 2: Convert to fraction form
    238,932/353,871 = 353,871/x
  3. Step 3: Cross multiply
    238,932x = 353,871 × 353,871
  4. Step 4: Simplify right side
    238,932x = 125,224,684,641
  5. Step 5: Solve for x
    x = 125,224,684,641/238,932
  6. Step 6: Final answer
    x = 524,101.77

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.