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Finding the Third Proportional to 146,025 and 297,342

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Solution

The third proportional to 146,025 and 297,342 is: 605,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,025 : 297,342 = 297,342 : x
  2. Step 2: Convert to fraction form
    146,025/297,342 = 297,342/x
  3. Step 3: Cross multiply
    146,025x = 297,342 × 297,342
  4. Step 4: Simplify right side
    146,025x = 88,412,264,964
  5. Step 5: Solve for x
    x = 88,412,264,964/146,025
  6. Step 6: Final answer
    x = 605,459.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.