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Finding the Third Proportional to 127,345.50 and 196,560

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Solution

The third proportional to 127,345.50 and 196,560 is: 303,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,345.50 : 196,560 = 196,560 : x
  2. Step 2: Convert to fraction form
    127,345.50/196,560 = 196,560/x
  3. Step 3: Cross multiply
    127,345.50x = 196,560 × 196,560
  4. Step 4: Simplify right side
    127,345.50x = 38,635,833,600
  5. Step 5: Solve for x
    x = 38,635,833,600/127,345.50
  6. Step 6: Final answer
    x = 303,393.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.