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Finding the Third Proportional to 236,287.13 and 359,359.03

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Solution

The third proportional to 236,287.13 and 359,359.03 is: 546,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,287.13 : 359,359.03 = 359,359.03 : x
  2. Step 2: Convert to fraction form
    236,287.13/359,359.03 = 359,359.03/x
  3. Step 3: Cross multiply
    236,287.13x = 359,359.03 × 359,359.03
  4. Step 4: Simplify right side
    236,287.13x = 129,138,913,340.94
  5. Step 5: Solve for x
    x = 129,138,913,340.94/236,287.13
  6. Step 6: Final answer
    x = 546,533.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.