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Finding the Third Proportional to 127,368.28 and 269,908.03

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Solution

The third proportional to 127,368.28 and 269,908.03 is: 571,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,368.28 : 269,908.03 = 269,908.03 : x
  2. Step 2: Convert to fraction form
    127,368.28/269,908.03 = 269,908.03/x
  3. Step 3: Cross multiply
    127,368.28x = 269,908.03 × 269,908.03
  4. Step 4: Simplify right side
    127,368.28x = 72,850,345,333.25
  5. Step 5: Solve for x
    x = 72,850,345,333.25/127,368.28
  6. Step 6: Final answer
    x = 571,966.15

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.