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Finding the Third Proportional to 169,566 and 368,292

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Solution

The third proportional to 169,566 and 368,292 is: 799,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,566 : 368,292 = 368,292 : x
  2. Step 2: Convert to fraction form
    169,566/368,292 = 368,292/x
  3. Step 3: Cross multiply
    169,566x = 368,292 × 368,292
  4. Step 4: Simplify right side
    169,566x = 135,638,997,264
  5. Step 5: Solve for x
    x = 135,638,997,264/169,566
  6. Step 6: Final answer
    x = 799,918.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.