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Finding the Third Proportional to 158,463 and 345,357

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Solution

The third proportional to 158,463 and 345,357 is: 752,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,463 : 345,357 = 345,357 : x
  2. Step 2: Convert to fraction form
    158,463/345,357 = 345,357/x
  3. Step 3: Cross multiply
    158,463x = 345,357 × 345,357
  4. Step 4: Simplify right side
    158,463x = 119,271,457,449
  5. Step 5: Solve for x
    x = 119,271,457,449/158,463
  6. Step 6: Final answer
    x = 752,677.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.