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Finding the Third Proportional to 159,721 and 341,603

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Solution

The third proportional to 159,721 and 341,603 is: 730,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,721 : 341,603 = 341,603 : x
  2. Step 2: Convert to fraction form
    159,721/341,603 = 341,603/x
  3. Step 3: Cross multiply
    159,721x = 341,603 × 341,603
  4. Step 4: Simplify right side
    159,721x = 116,692,609,609
  5. Step 5: Solve for x
    x = 116,692,609,609/159,721
  6. Step 6: Final answer
    x = 730,602.80

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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.