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Finding the Third Proportional to 165,608 and 357,446

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Solution

The third proportional to 165,608 and 357,446 is: 771,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,608 : 357,446 = 357,446 : x
  2. Step 2: Convert to fraction form
    165,608/357,446 = 357,446/x
  3. Step 3: Cross multiply
    165,608x = 357,446 × 357,446
  4. Step 4: Simplify right side
    165,608x = 127,767,642,916
  5. Step 5: Solve for x
    x = 127,767,642,916/165,608
  6. Step 6: Final answer
    x = 771,506.47

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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.