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Finding the Third Proportional to 207,901.69 and 297,090.28

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Solution

The third proportional to 207,901.69 and 297,090.28 is: 424,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,901.69 : 297,090.28 = 297,090.28 : x
  2. Step 2: Convert to fraction form
    207,901.69/297,090.28 = 297,090.28/x
  3. Step 3: Cross multiply
    207,901.69x = 297,090.28 × 297,090.28
  4. Step 4: Simplify right side
    207,901.69x = 88,262,635,213.20
  5. Step 5: Solve for x
    x = 88,262,635,213.20/207,901.69
  6. Step 6: Final answer
    x = 424,540.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.