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Finding the Third Proportional to 232,801 and 355,971

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Solution

The third proportional to 232,801 and 355,971 is: 544,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,801 : 355,971 = 355,971 : x
  2. Step 2: Convert to fraction form
    232,801/355,971 = 355,971/x
  3. Step 3: Cross multiply
    232,801x = 355,971 × 355,971
  4. Step 4: Simplify right side
    232,801x = 126,715,352,841
  5. Step 5: Solve for x
    x = 126,715,352,841/232,801
  6. Step 6: Final answer
    x = 544,307.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.