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Finding the Third Proportional to 236,361 and 375,853.50

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Solution

The third proportional to 236,361 and 375,853.50 is: 597,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,361 : 375,853.50 = 375,853.50 : x
  2. Step 2: Convert to fraction form
    236,361/375,853.50 = 375,853.50/x
  3. Step 3: Cross multiply
    236,361x = 375,853.50 × 375,853.50
  4. Step 4: Simplify right side
    236,361x = 141,265,853,462.25
  5. Step 5: Solve for x
    x = 141,265,853,462.25/236,361
  6. Step 6: Final answer
    x = 597,669.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.