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Finding the Third Proportional to 233,160.75 and 360,047.25

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Solution

The third proportional to 233,160.75 and 360,047.25 is: 555,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,160.75 : 360,047.25 = 360,047.25 : x
  2. Step 2: Convert to fraction form
    233,160.75/360,047.25 = 360,047.25/x
  3. Step 3: Cross multiply
    233,160.75x = 360,047.25 × 360,047.25
  4. Step 4: Simplify right side
    233,160.75x = 129,634,022,232.56
  5. Step 5: Solve for x
    x = 129,634,022,232.56/233,160.75
  6. Step 6: Final answer
    x = 555,985.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.