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Finding the Third Proportional to 233,595.14 and 365,961.80

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Solution

The third proportional to 233,595.14 and 365,961.80 is: 573,334.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,595.14 : 365,961.80 = 365,961.80 : x
  2. Step 2: Convert to fraction form
    233,595.14/365,961.80 = 365,961.80/x
  3. Step 3: Cross multiply
    233,595.14x = 365,961.80 × 365,961.80
  4. Step 4: Simplify right side
    233,595.14x = 133,928,036,771.98
  5. Step 5: Solve for x
    x = 133,928,036,771.98/233,595.14
  6. Step 6: Final answer
    x = 573,334.00

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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.