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Finding the Third Proportional to 123,032 and 200,897

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Solution

The third proportional to 123,032 and 200,897 is: 328,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,032 : 200,897 = 200,897 : x
  2. Step 2: Convert to fraction form
    123,032/200,897 = 200,897/x
  3. Step 3: Cross multiply
    123,032x = 200,897 × 200,897
  4. Step 4: Simplify right side
    123,032x = 40,359,604,609
  5. Step 5: Solve for x
    x = 40,359,604,609/123,032
  6. Step 6: Final answer
    x = 328,041.52

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.