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Finding the Third Proportional to 162,292 and 350,504

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Solution

The third proportional to 162,292 and 350,504 is: 756,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,292 : 350,504 = 350,504 : x
  2. Step 2: Convert to fraction form
    162,292/350,504 = 350,504/x
  3. Step 3: Cross multiply
    162,292x = 350,504 × 350,504
  4. Step 4: Simplify right side
    162,292x = 122,853,054,016
  5. Step 5: Solve for x
    x = 122,853,054,016/162,292
  6. Step 6: Final answer
    x = 756,987.74

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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.