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Finding the Third Proportional to 146,090 and 303,412

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Solution

The third proportional to 146,090 and 303,412 is: 630,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,090 : 303,412 = 303,412 : x
  2. Step 2: Convert to fraction form
    146,090/303,412 = 303,412/x
  3. Step 3: Cross multiply
    146,090x = 303,412 × 303,412
  4. Step 4: Simplify right side
    146,090x = 92,058,841,744
  5. Step 5: Solve for x
    x = 92,058,841,744/146,090
  6. Step 6: Final answer
    x = 630,151.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.