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Finding the Third Proportional to 233,140.50 and 366,261.75

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Solution

The third proportional to 233,140.50 and 366,261.75 is: 575,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,140.50 : 366,261.75 = 366,261.75 : x
  2. Step 2: Convert to fraction form
    233,140.50/366,261.75 = 366,261.75/x
  3. Step 3: Cross multiply
    233,140.50x = 366,261.75 × 366,261.75
  4. Step 4: Simplify right side
    233,140.50x = 134,147,669,513.06
  5. Step 5: Solve for x
    x = 134,147,669,513.06/233,140.50
  6. Step 6: Final answer
    x = 575,394.11

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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.