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Finding the Third Proportional to 159,133 and 346,670

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Solution

The third proportional to 159,133 and 346,670 is: 755,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,133 : 346,670 = 346,670 : x
  2. Step 2: Convert to fraction form
    159,133/346,670 = 346,670/x
  3. Step 3: Cross multiply
    159,133x = 346,670 × 346,670
  4. Step 4: Simplify right side
    159,133x = 120,180,088,900
  5. Step 5: Solve for x
    x = 120,180,088,900/159,133
  6. Step 6: Final answer
    x = 755,217.89

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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.