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Finding the Third Proportional to 131,703.75 and 288,497.25

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Solution

The third proportional to 131,703.75 and 288,497.25 is: 631,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,703.75 : 288,497.25 = 288,497.25 : x
  2. Step 2: Convert to fraction form
    131,703.75/288,497.25 = 288,497.25/x
  3. Step 3: Cross multiply
    131,703.75x = 288,497.25 × 288,497.25
  4. Step 4: Simplify right side
    131,703.75x = 83,230,663,257.56
  5. Step 5: Solve for x
    x = 83,230,663,257.56/131,703.75
  6. Step 6: Final answer
    x = 631,953.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.