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Finding the Third Proportional to 162,888 and 380,588

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Solution

The third proportional to 162,888 and 380,588 is: 889,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,888 : 380,588 = 380,588 : x
  2. Step 2: Convert to fraction form
    162,888/380,588 = 380,588/x
  3. Step 3: Cross multiply
    162,888x = 380,588 × 380,588
  4. Step 4: Simplify right side
    162,888x = 144,847,225,744
  5. Step 5: Solve for x
    x = 144,847,225,744/162,888
  6. Step 6: Final answer
    x = 889,244.30

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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.