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Finding the Third Proportional to 151,733.25 and 234,444.38

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Solution

The third proportional to 151,733.25 and 234,444.38 is: 362,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,733.25 : 234,444.38 = 234,444.38 : x
  2. Step 2: Convert to fraction form
    151,733.25/234,444.38 = 234,444.38/x
  3. Step 3: Cross multiply
    151,733.25x = 234,444.38 × 234,444.38
  4. Step 4: Simplify right side
    151,733.25x = 54,964,164,969.14
  5. Step 5: Solve for x
    x = 54,964,164,969.14/151,733.25
  6. Step 6: Final answer
    x = 362,242.06

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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.