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Finding the Third Proportional to 158,316 and 336,063

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Solution

The third proportional to 158,316 and 336,063 is: 713,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,316 : 336,063 = 336,063 : x
  2. Step 2: Convert to fraction form
    158,316/336,063 = 336,063/x
  3. Step 3: Cross multiply
    158,316x = 336,063 × 336,063
  4. Step 4: Simplify right side
    158,316x = 112,938,339,969
  5. Step 5: Solve for x
    x = 112,938,339,969/158,316
  6. Step 6: Final answer
    x = 713,372.87

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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.