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Finding the Third Proportional to 233,907.75 and 365,239.13

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Solution

The third proportional to 233,907.75 and 365,239.13 is: 570,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,907.75 : 365,239.13 = 365,239.13 : x
  2. Step 2: Convert to fraction form
    233,907.75/365,239.13 = 365,239.13/x
  3. Step 3: Cross multiply
    233,907.75x = 365,239.13 × 365,239.13
  4. Step 4: Simplify right side
    233,907.75x = 133,399,618,430.77
  5. Step 5: Solve for x
    x = 133,399,618,430.77/233,907.75
  6. Step 6: Final answer
    x = 570,308.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.