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Finding the Third Proportional to 123,031.50 and 200,896.50

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Solution

The third proportional to 123,031.50 and 200,896.50 is: 328,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,031.50 : 200,896.50 = 200,896.50 : x
  2. Step 2: Convert to fraction form
    123,031.50/200,896.50 = 200,896.50/x
  3. Step 3: Cross multiply
    123,031.50x = 200,896.50 × 200,896.50
  4. Step 4: Simplify right side
    123,031.50x = 40,359,403,712.25
  5. Step 5: Solve for x
    x = 40,359,403,712.25/123,031.50
  6. Step 6: Final answer
    x = 328,041.22

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.