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Finding the Third Proportional to 151,859.81 and 310,683.09

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Solution

The third proportional to 151,859.81 and 310,683.09 is: 635,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,859.81 : 310,683.09 = 310,683.09 : x
  2. Step 2: Convert to fraction form
    151,859.81/310,683.09 = 310,683.09/x
  3. Step 3: Cross multiply
    151,859.81x = 310,683.09 × 310,683.09
  4. Step 4: Simplify right side
    151,859.81x = 96,523,984,742.07
  5. Step 5: Solve for x
    x = 96,523,984,742.07/151,859.81
  6. Step 6: Final answer
    x = 635,612.43

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.