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Finding the Third Proportional to 162,857 and 358,843

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Solution

The third proportional to 162,857 and 358,843 is: 790,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,857 : 358,843 = 358,843 : x
  2. Step 2: Convert to fraction form
    162,857/358,843 = 358,843/x
  3. Step 3: Cross multiply
    162,857x = 358,843 × 358,843
  4. Step 4: Simplify right side
    162,857x = 128,768,298,649
  5. Step 5: Solve for x
    x = 128,768,298,649/162,857
  6. Step 6: Final answer
    x = 790,683.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.