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Finding the Third Proportional to 136,422 and 291,789

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Solution

The third proportional to 136,422 and 291,789 is: 624,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,422 : 291,789 = 291,789 : x
  2. Step 2: Convert to fraction form
    136,422/291,789 = 291,789/x
  3. Step 3: Cross multiply
    136,422x = 291,789 × 291,789
  4. Step 4: Simplify right side
    136,422x = 85,140,820,521
  5. Step 5: Solve for x
    x = 85,140,820,521/136,422
  6. Step 6: Final answer
    x = 624,098.90

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