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Finding the Third Proportional to 125,593.03 and 296,235.98

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Solution

The third proportional to 125,593.03 and 296,235.98 is: 698,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,593.03 : 296,235.98 = 296,235.98 : x
  2. Step 2: Convert to fraction form
    125,593.03/296,235.98 = 296,235.98/x
  3. Step 3: Cross multiply
    125,593.03x = 296,235.98 × 296,235.98
  4. Step 4: Simplify right side
    125,593.03x = 87,755,758,438.63
  5. Step 5: Solve for x
    x = 87,755,758,438.63/125,593.03
  6. Step 6: Final answer
    x = 698,731.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.