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Finding the Third Proportional to 158,313 and 336,057

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Solution

The third proportional to 158,313 and 336,057 is: 713,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,313 : 336,057 = 336,057 : x
  2. Step 2: Convert to fraction form
    158,313/336,057 = 336,057/x
  3. Step 3: Cross multiply
    158,313x = 336,057 × 336,057
  4. Step 4: Simplify right side
    158,313x = 112,934,307,249
  5. Step 5: Solve for x
    x = 112,934,307,249/158,313
  6. Step 6: Final answer
    x = 713,360.92

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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.