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Finding the Third Proportional to 236,749 and 355,397

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Solution

The third proportional to 236,749 and 355,397 is: 533,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,749 : 355,397 = 355,397 : x
  2. Step 2: Convert to fraction form
    236,749/355,397 = 355,397/x
  3. Step 3: Cross multiply
    236,749x = 355,397 × 355,397
  4. Step 4: Simplify right side
    236,749x = 126,307,027,609
  5. Step 5: Solve for x
    x = 126,307,027,609/236,749
  6. Step 6: Final answer
    x = 533,506.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.