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Finding the Third Proportional to 196,641 and 296,577

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Solution

The third proportional to 196,641 and 296,577 is: 447,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,641 : 296,577 = 296,577 : x
  2. Step 2: Convert to fraction form
    196,641/296,577 = 296,577/x
  3. Step 3: Cross multiply
    196,641x = 296,577 × 296,577
  4. Step 4: Simplify right side
    196,641x = 87,957,916,929
  5. Step 5: Solve for x
    x = 87,957,916,929/196,641
  6. Step 6: Final answer
    x = 447,302.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.