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Finding the Third Proportional to 77,058 and 168,228

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Solution

The third proportional to 77,058 and 168,228 is: 367,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,058 : 168,228 = 168,228 : x
  2. Step 2: Convert to fraction form
    77,058/168,228 = 168,228/x
  3. Step 3: Cross multiply
    77,058x = 168,228 × 168,228
  4. Step 4: Simplify right side
    77,058x = 28,300,659,984
  5. Step 5: Solve for x
    x = 28,300,659,984/77,058
  6. Step 6: Final answer
    x = 367,264.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.