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Finding the Third Proportional to 233,479.13 and 342,471.94

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Solution

The third proportional to 233,479.13 and 342,471.94 is: 502,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,479.13 : 342,471.94 = 342,471.94 : x
  2. Step 2: Convert to fraction form
    233,479.13/342,471.94 = 342,471.94/x
  3. Step 3: Cross multiply
    233,479.13x = 342,471.94 × 342,471.94
  4. Step 4: Simplify right side
    233,479.13x = 117,287,027,975.00
  5. Step 5: Solve for x
    x = 117,287,027,975.00/233,479.13
  6. Step 6: Final answer
    x = 502,344.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.