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Finding the Third Proportional to 231,302.25 and 362,927.25

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Solution

The third proportional to 231,302.25 and 362,927.25 is: 569,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,302.25 : 362,927.25 = 362,927.25 : x
  2. Step 2: Convert to fraction form
    231,302.25/362,927.25 = 362,927.25/x
  3. Step 3: Cross multiply
    231,302.25x = 362,927.25 × 362,927.25
  4. Step 4: Simplify right side
    231,302.25x = 131,716,188,792.56
  5. Step 5: Solve for x
    x = 131,716,188,792.56/231,302.25
  6. Step 6: Final answer
    x = 569,454.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.