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Finding the Third Proportional to 146,514 and 300,807

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Solution

The third proportional to 146,514 and 300,807 is: 617,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,514 : 300,807 = 300,807 : x
  2. Step 2: Convert to fraction form
    146,514/300,807 = 300,807/x
  3. Step 3: Cross multiply
    146,514x = 300,807 × 300,807
  4. Step 4: Simplify right side
    146,514x = 90,484,851,249
  5. Step 5: Solve for x
    x = 90,484,851,249/146,514
  6. Step 6: Final answer
    x = 617,585.02

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.