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Finding the Third Proportional to 165,606 and 357,444

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Solution

The third proportional to 165,606 and 357,444 is: 771,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,606 : 357,444 = 357,444 : x
  2. Step 2: Convert to fraction form
    165,606/357,444 = 357,444/x
  3. Step 3: Cross multiply
    165,606x = 357,444 × 357,444
  4. Step 4: Simplify right side
    165,606x = 127,766,213,136
  5. Step 5: Solve for x
    x = 127,766,213,136/165,606
  6. Step 6: Final answer
    x = 771,507.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.