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Finding the Third Proportional to 196,580 and 295,862

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Solution

The third proportional to 196,580 and 295,862 is: 445,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,580 : 295,862 = 295,862 : x
  2. Step 2: Convert to fraction form
    196,580/295,862 = 295,862/x
  3. Step 3: Cross multiply
    196,580x = 295,862 × 295,862
  4. Step 4: Simplify right side
    196,580x = 87,534,323,044
  5. Step 5: Solve for x
    x = 87,534,323,044/196,580
  6. Step 6: Final answer
    x = 445,286.01

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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.