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Finding the Third Proportional to 171,666 and 348,003

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Solution

The third proportional to 171,666 and 348,003 is: 705,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,666 : 348,003 = 348,003 : x
  2. Step 2: Convert to fraction form
    171,666/348,003 = 348,003/x
  3. Step 3: Cross multiply
    171,666x = 348,003 × 348,003
  4. Step 4: Simplify right side
    171,666x = 121,106,088,009
  5. Step 5: Solve for x
    x = 121,106,088,009/171,666
  6. Step 6: Final answer
    x = 705,475.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.