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Finding the Third Proportional to 233,042.63 and 359,867.25

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Solution

The third proportional to 233,042.63 and 359,867.25 is: 555,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,042.63 : 359,867.25 = 359,867.25 : x
  2. Step 2: Convert to fraction form
    233,042.63/359,867.25 = 359,867.25/x
  3. Step 3: Cross multiply
    233,042.63x = 359,867.25 × 359,867.25
  4. Step 4: Simplify right side
    233,042.63x = 129,504,437,622.56
  5. Step 5: Solve for x
    x = 129,504,437,622.56/233,042.63
  6. Step 6: Final answer
    x = 555,711.38

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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.