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Finding the Third Proportional to 123,232.50 and 190,282.50

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Solution

The third proportional to 123,232.50 and 190,282.50 is: 293,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,232.50 : 190,282.50 = 190,282.50 : x
  2. Step 2: Convert to fraction form
    123,232.50/190,282.50 = 190,282.50/x
  3. Step 3: Cross multiply
    123,232.50x = 190,282.50 × 190,282.50
  4. Step 4: Simplify right side
    123,232.50x = 36,207,429,806.25
  5. Step 5: Solve for x
    x = 36,207,429,806.25/123,232.50
  6. Step 6: Final answer
    x = 293,813.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.