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Finding the Third Proportional to 159,060 and 346,702

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Solution

The third proportional to 159,060 and 346,702 is: 755,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,060 : 346,702 = 346,702 : x
  2. Step 2: Convert to fraction form
    159,060/346,702 = 346,702/x
  3. Step 3: Cross multiply
    159,060x = 346,702 × 346,702
  4. Step 4: Simplify right side
    159,060x = 120,202,276,804
  5. Step 5: Solve for x
    x = 120,202,276,804/159,060
  6. Step 6: Final answer
    x = 755,703.99

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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.