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Finding the Third Proportional to 158,461 and 348,025

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Solution

The third proportional to 158,461 and 348,025 is: 764,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,461 : 348,025 = 348,025 : x
  2. Step 2: Convert to fraction form
    158,461/348,025 = 348,025/x
  3. Step 3: Cross multiply
    158,461x = 348,025 × 348,025
  4. Step 4: Simplify right side
    158,461x = 121,121,400,625
  5. Step 5: Solve for x
    x = 121,121,400,625/158,461
  6. Step 6: Final answer
    x = 764,360.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.