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Finding the Third Proportional to 196,892.25 and 297,140.63

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Solution

The third proportional to 196,892.25 and 297,140.63 is: 448,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,892.25 : 297,140.63 = 297,140.63 : x
  2. Step 2: Convert to fraction form
    196,892.25/297,140.63 = 297,140.63/x
  3. Step 3: Cross multiply
    196,892.25x = 297,140.63 × 297,140.63
  4. Step 4: Simplify right side
    196,892.25x = 88,292,551,025.39
  5. Step 5: Solve for x
    x = 88,292,551,025.39/196,892.25
  6. Step 6: Final answer
    x = 448,430.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.