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Finding the Third Proportional to 151,935.75 and 282,187.13

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Solution

The third proportional to 151,935.75 and 282,187.13 is: 524,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,935.75 : 282,187.13 = 282,187.13 : x
  2. Step 2: Convert to fraction form
    151,935.75/282,187.13 = 282,187.13/x
  3. Step 3: Cross multiply
    151,935.75x = 282,187.13 × 282,187.13
  4. Step 4: Simplify right side
    151,935.75x = 79,629,573,515.77
  5. Step 5: Solve for x
    x = 79,629,573,515.77/151,935.75
  6. Step 6: Final answer
    x = 524,100.31

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.