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Finding the Third Proportional to 155,776 and 233,404

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Solution

The third proportional to 155,776 and 233,404 is: 349,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,776 : 233,404 = 233,404 : x
  2. Step 2: Convert to fraction form
    155,776/233,404 = 233,404/x
  3. Step 3: Cross multiply
    155,776x = 233,404 × 233,404
  4. Step 4: Simplify right side
    155,776x = 54,477,427,216
  5. Step 5: Solve for x
    x = 54,477,427,216/155,776
  6. Step 6: Final answer
    x = 349,716.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.