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Finding the Third Proportional to 158,310 and 336,051

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Solution

The third proportional to 158,310 and 336,051 is: 713,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,310 : 336,051 = 336,051 : x
  2. Step 2: Convert to fraction form
    158,310/336,051 = 336,051/x
  3. Step 3: Cross multiply
    158,310x = 336,051 × 336,051
  4. Step 4: Simplify right side
    158,310x = 112,930,274,601
  5. Step 5: Solve for x
    x = 112,930,274,601/158,310
  6. Step 6: Final answer
    x = 713,348.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.