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Finding the Third Proportional to 158,922 and 362,313

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Solution

The third proportional to 158,922 and 362,313 is: 826,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,922 : 362,313 = 362,313 : x
  2. Step 2: Convert to fraction form
    158,922/362,313 = 362,313/x
  3. Step 3: Cross multiply
    158,922x = 362,313 × 362,313
  4. Step 4: Simplify right side
    158,922x = 131,270,709,969
  5. Step 5: Solve for x
    x = 131,270,709,969/158,922
  6. Step 6: Final answer
    x = 826,007.16

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.