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Finding the Third Proportional to 223,922 and 346,701

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Solution

The third proportional to 223,922 and 346,701 is: 536,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,922 : 346,701 = 346,701 : x
  2. Step 2: Convert to fraction form
    223,922/346,701 = 346,701/x
  3. Step 3: Cross multiply
    223,922x = 346,701 × 346,701
  4. Step 4: Simplify right side
    223,922x = 120,201,583,401
  5. Step 5: Solve for x
    x = 120,201,583,401/223,922
  6. Step 6: Final answer
    x = 536,801.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.