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Finding the Third Proportional to 162,887 and 380,586

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Solution

The third proportional to 162,887 and 380,586 is: 889,240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,887 : 380,586 = 380,586 : x
  2. Step 2: Convert to fraction form
    162,887/380,586 = 380,586/x
  3. Step 3: Cross multiply
    162,887x = 380,586 × 380,586
  4. Step 4: Simplify right side
    162,887x = 144,845,703,396
  5. Step 5: Solve for x
    x = 144,845,703,396/162,887
  6. Step 6: Final answer
    x = 889,240.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.