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Finding the Third Proportional to 146,253.94 and 317,476.13

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Solution

The third proportional to 146,253.94 and 317,476.13 is: 689,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,253.94 : 317,476.13 = 317,476.13 : x
  2. Step 2: Convert to fraction form
    146,253.94/317,476.13 = 317,476.13/x
  3. Step 3: Cross multiply
    146,253.94x = 317,476.13 × 317,476.13
  4. Step 4: Simplify right side
    146,253.94x = 100,791,089,945.02
  5. Step 5: Solve for x
    x = 100,791,089,945.02/146,253.94
  6. Step 6: Final answer
    x = 689,151.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.