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Finding the Third Proportional to 131,752.69 and 292,983.75

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Solution

The third proportional to 131,752.69 and 292,983.75 is: 651,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,752.69 : 292,983.75 = 292,983.75 : x
  2. Step 2: Convert to fraction form
    131,752.69/292,983.75 = 292,983.75/x
  3. Step 3: Cross multiply
    131,752.69x = 292,983.75 × 292,983.75
  4. Step 4: Simplify right side
    131,752.69x = 85,839,477,764.06
  5. Step 5: Solve for x
    x = 85,839,477,764.06/131,752.69
  6. Step 6: Final answer
    x = 651,519.75

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.