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Finding the Third Proportional to 219,996 and 349,686

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Solution

The third proportional to 219,996 and 349,686 is: 555,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,996 : 349,686 = 349,686 : x
  2. Step 2: Convert to fraction form
    219,996/349,686 = 349,686/x
  3. Step 3: Cross multiply
    219,996x = 349,686 × 349,686
  4. Step 4: Simplify right side
    219,996x = 122,280,298,596
  5. Step 5: Solve for x
    x = 122,280,298,596/219,996
  6. Step 6: Final answer
    x = 555,829.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.