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Finding the Third Proportional to 159,897 and 341,646

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Solution

The third proportional to 159,897 and 341,646 is: 729,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,897 : 341,646 = 341,646 : x
  2. Step 2: Convert to fraction form
    159,897/341,646 = 341,646/x
  3. Step 3: Cross multiply
    159,897x = 341,646 × 341,646
  4. Step 4: Simplify right side
    159,897x = 116,721,989,316
  5. Step 5: Solve for x
    x = 116,721,989,316/159,897
  6. Step 6: Final answer
    x = 729,982.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.