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Finding the Third Proportional to 151,232.81 and 232,136.25

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Solution

The third proportional to 151,232.81 and 232,136.25 is: 356,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,232.81 : 232,136.25 = 232,136.25 : x
  2. Step 2: Convert to fraction form
    151,232.81/232,136.25 = 232,136.25/x
  3. Step 3: Cross multiply
    151,232.81x = 232,136.25 × 232,136.25
  4. Step 4: Simplify right side
    151,232.81x = 53,887,238,564.06
  5. Step 5: Solve for x
    x = 53,887,238,564.06/151,232.81
  6. Step 6: Final answer
    x = 356,319.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.