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Finding the Third Proportional to 183,767.80 and 296,052.31

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Solution

The third proportional to 183,767.80 and 296,052.31 is: 476,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,767.80 : 296,052.31 = 296,052.31 : x
  2. Step 2: Convert to fraction form
    183,767.80/296,052.31 = 296,052.31/x
  3. Step 3: Cross multiply
    183,767.80x = 296,052.31 × 296,052.31
  4. Step 4: Simplify right side
    183,767.80x = 87,646,970,580.15
  5. Step 5: Solve for x
    x = 87,646,970,580.15/183,767.80
  6. Step 6: Final answer
    x = 476,944.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.