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Finding the Third Proportional to 233,902.69 and 371,845.69

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Solution

The third proportional to 233,902.69 and 371,845.69 is: 591,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,902.69 : 371,845.69 = 371,845.69 : x
  2. Step 2: Convert to fraction form
    233,902.69/371,845.69 = 371,845.69/x
  3. Step 3: Cross multiply
    233,902.69x = 371,845.69 × 371,845.69
  4. Step 4: Simplify right side
    233,902.69x = 138,269,215,312.35
  5. Step 5: Solve for x
    x = 138,269,215,312.35/233,902.69
  6. Step 6: Final answer
    x = 591,139.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.