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Finding the Third Proportional to 162,919.69 and 241,840.69

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Solution

The third proportional to 162,919.69 and 241,840.69 is: 358,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,919.69 : 241,840.69 = 241,840.69 : x
  2. Step 2: Convert to fraction form
    162,919.69/241,840.69 = 241,840.69/x
  3. Step 3: Cross multiply
    162,919.69x = 241,840.69 × 241,840.69
  4. Step 4: Simplify right side
    162,919.69x = 58,486,918,130.47
  5. Step 5: Solve for x
    x = 58,486,918,130.47/162,919.69
  6. Step 6: Final answer
    x = 358,992.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.