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Finding the Third Proportional to 233,607.80 and 365,982.68

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Solution

The third proportional to 233,607.80 and 365,982.68 is: 573,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,607.80 : 365,982.68 = 365,982.68 : x
  2. Step 2: Convert to fraction form
    233,607.80/365,982.68 = 365,982.68/x
  3. Step 3: Cross multiply
    233,607.80x = 365,982.68 × 365,982.68
  4. Step 4: Simplify right side
    233,607.80x = 133,943,321,831.24
  5. Step 5: Solve for x
    x = 133,943,321,831.24/233,607.80
  6. Step 6: Final answer
    x = 573,368.37

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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.