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Finding the Third Proportional to 197,272.50 and 426,073.50

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Solution

The third proportional to 197,272.50 and 426,073.50 is: 920,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,272.50 : 426,073.50 = 426,073.50 : x
  2. Step 2: Convert to fraction form
    197,272.50/426,073.50 = 426,073.50/x
  3. Step 3: Cross multiply
    197,272.50x = 426,073.50 × 426,073.50
  4. Step 4: Simplify right side
    197,272.50x = 181,538,627,402.25
  5. Step 5: Solve for x
    x = 181,538,627,402.25/197,272.50
  6. Step 6: Final answer
    x = 920,242.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.