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Finding the Third Proportional to 156,028 and 235,420

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Solution

The third proportional to 156,028 and 235,420 is: 355,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,028 : 235,420 = 235,420 : x
  2. Step 2: Convert to fraction form
    156,028/235,420 = 235,420/x
  3. Step 3: Cross multiply
    156,028x = 235,420 × 235,420
  4. Step 4: Simplify right side
    156,028x = 55,422,576,400
  5. Step 5: Solve for x
    x = 55,422,576,400/156,028
  6. Step 6: Final answer
    x = 355,209.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.