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Finding the Third Proportional to 158,218.31 and 341,177.06

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Solution

The third proportional to 158,218.31 and 341,177.06 is: 735,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,218.31 : 341,177.06 = 341,177.06 : x
  2. Step 2: Convert to fraction form
    158,218.31/341,177.06 = 341,177.06/x
  3. Step 3: Cross multiply
    158,218.31x = 341,177.06 × 341,177.06
  4. Step 4: Simplify right side
    158,218.31x = 116,401,787,976.13
  5. Step 5: Solve for x
    x = 116,401,787,976.13/158,218.31
  6. Step 6: Final answer
    x = 735,703.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.