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Finding the Third Proportional to 231,390.38 and 349,551.19

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Solution

The third proportional to 231,390.38 and 349,551.19 is: 528,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,390.38 : 349,551.19 = 349,551.19 : x
  2. Step 2: Convert to fraction form
    231,390.38/349,551.19 = 349,551.19/x
  3. Step 3: Cross multiply
    231,390.38x = 349,551.19 × 349,551.19
  4. Step 4: Simplify right side
    231,390.38x = 122,186,032,682.66
  5. Step 5: Solve for x
    x = 122,186,032,682.66/231,390.38
  6. Step 6: Final answer
    x = 528,051.49

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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.