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Finding the Third Proportional to 134,368 and 209,721

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Solution

The third proportional to 134,368 and 209,721 is: 327,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,368 : 209,721 = 209,721 : x
  2. Step 2: Convert to fraction form
    134,368/209,721 = 209,721/x
  3. Step 3: Cross multiply
    134,368x = 209,721 × 209,721
  4. Step 4: Simplify right side
    134,368x = 43,982,897,841
  5. Step 5: Solve for x
    x = 43,982,897,841/134,368
  6. Step 6: Final answer
    x = 327,331.64

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.