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Finding the Third Proportional to 162,777 and 357,069

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Solution

The third proportional to 162,777 and 357,069 is: 783,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,777 : 357,069 = 357,069 : x
  2. Step 2: Convert to fraction form
    162,777/357,069 = 357,069/x
  3. Step 3: Cross multiply
    162,777x = 357,069 × 357,069
  4. Step 4: Simplify right side
    162,777x = 127,498,270,761
  5. Step 5: Solve for x
    x = 127,498,270,761/162,777
  6. Step 6: Final answer
    x = 783,269.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.