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Finding the Third Proportional to 143,058 and 307,932

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Solution

The third proportional to 143,058 and 307,932 is: 662,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,058 : 307,932 = 307,932 : x
  2. Step 2: Convert to fraction form
    143,058/307,932 = 307,932/x
  3. Step 3: Cross multiply
    143,058x = 307,932 × 307,932
  4. Step 4: Simplify right side
    143,058x = 94,822,116,624
  5. Step 5: Solve for x
    x = 94,822,116,624/143,058
  6. Step 6: Final answer
    x = 662,822.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.