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Finding the Third Proportional to 197,560.75 and 426,710.25

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Solution

The third proportional to 197,560.75 and 426,710.25 is: 921,648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,560.75 : 426,710.25 = 426,710.25 : x
  2. Step 2: Convert to fraction form
    197,560.75/426,710.25 = 426,710.25/x
  3. Step 3: Cross multiply
    197,560.75x = 426,710.25 × 426,710.25
  4. Step 4: Simplify right side
    197,560.75x = 182,081,637,455.06
  5. Step 5: Solve for x
    x = 182,081,637,455.06/197,560.75
  6. Step 6: Final answer
    x = 921,648.85

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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.