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Finding the Third Proportional to 231,386.63 and 349,545.38

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Solution

The third proportional to 231,386.63 and 349,545.38 is: 528,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,386.63 : 349,545.38 = 349,545.38 : x
  2. Step 2: Convert to fraction form
    231,386.63/349,545.38 = 349,545.38/x
  3. Step 3: Cross multiply
    231,386.63x = 349,545.38 × 349,545.38
  4. Step 4: Simplify right side
    231,386.63x = 122,181,969,183.89
  5. Step 5: Solve for x
    x = 122,181,969,183.89/231,386.63
  6. Step 6: Final answer
    x = 528,042.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.