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Finding the Third Proportional to 151,735 and 234,447

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Solution

The third proportional to 151,735 and 234,447 is: 362,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,735 : 234,447 = 234,447 : x
  2. Step 2: Convert to fraction form
    151,735/234,447 = 234,447/x
  3. Step 3: Cross multiply
    151,735x = 234,447 × 234,447
  4. Step 4: Simplify right side
    151,735x = 54,965,395,809
  5. Step 5: Solve for x
    x = 54,965,395,809/151,735
  6. Step 6: Final answer
    x = 362,245.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.