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Finding the Third Proportional to 159,710 and 346,000

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Solution

The third proportional to 159,710 and 346,000 is: 749,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,710 : 346,000 = 346,000 : x
  2. Step 2: Convert to fraction form
    159,710/346,000 = 346,000/x
  3. Step 3: Cross multiply
    159,710x = 346,000 × 346,000
  4. Step 4: Simplify right side
    159,710x = 119,716,000,000
  5. Step 5: Solve for x
    x = 119,716,000,000/159,710
  6. Step 6: Final answer
    x = 749,583.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.