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Finding the Third Proportional to 197,300.25 and 426,129.75

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Solution

The third proportional to 197,300.25 and 426,129.75 is: 920,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,300.25 : 426,129.75 = 426,129.75 : x
  2. Step 2: Convert to fraction form
    197,300.25/426,129.75 = 426,129.75/x
  3. Step 3: Cross multiply
    197,300.25x = 426,129.75 × 426,129.75
  4. Step 4: Simplify right side
    197,300.25x = 181,586,563,835.06
  5. Step 5: Solve for x
    x = 181,586,563,835.06/197,300.25
  6. Step 6: Final answer
    x = 920,356.48

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