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Finding the Third Proportional to 233,722.81 and 334,194.53

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Solution

The third proportional to 233,722.81 and 334,194.53 is: 477,856.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,722.81 : 334,194.53 = 334,194.53 : x
  2. Step 2: Convert to fraction form
    233,722.81/334,194.53 = 334,194.53/x
  3. Step 3: Cross multiply
    233,722.81x = 334,194.53 × 334,194.53
  4. Step 4: Simplify right side
    233,722.81x = 111,685,984,064.68
  5. Step 5: Solve for x
    x = 111,685,984,064.68/233,722.81
  6. Step 6: Final answer
    x = 477,856.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.