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Finding the Third Proportional to 131,540.63 and 284,099.63

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Solution

The third proportional to 131,540.63 and 284,099.63 is: 613,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,540.63 : 284,099.63 = 284,099.63 : x
  2. Step 2: Convert to fraction form
    131,540.63/284,099.63 = 284,099.63/x
  3. Step 3: Cross multiply
    131,540.63x = 284,099.63 × 284,099.63
  4. Step 4: Simplify right side
    131,540.63x = 80,712,596,925.14
  5. Step 5: Solve for x
    x = 80,712,596,925.14/131,540.63
  6. Step 6: Final answer
    x = 613,594.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.