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Finding the Third Proportional to 237,879 and 368,897

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Solution

The third proportional to 237,879 and 368,897 is: 572,076.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,879 : 368,897 = 368,897 : x
  2. Step 2: Convert to fraction form
    237,879/368,897 = 368,897/x
  3. Step 3: Cross multiply
    237,879x = 368,897 × 368,897
  4. Step 4: Simplify right side
    237,879x = 136,084,996,609
  5. Step 5: Solve for x
    x = 136,084,996,609/237,879
  6. Step 6: Final answer
    x = 572,076.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.