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Finding the Third Proportional to 155,422 and 233,710

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Solution

The third proportional to 155,422 and 233,710 is: 351,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,422 : 233,710 = 233,710 : x
  2. Step 2: Convert to fraction form
    155,422/233,710 = 233,710/x
  3. Step 3: Cross multiply
    155,422x = 233,710 × 233,710
  4. Step 4: Simplify right side
    155,422x = 54,620,364,100
  5. Step 5: Solve for x
    x = 54,620,364,100/155,422
  6. Step 6: Final answer
    x = 351,432.64

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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.