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Finding the Third Proportional to 224,032 and 346,924

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Solution

The third proportional to 224,032 and 346,924 is: 537,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,032 : 346,924 = 346,924 : x
  2. Step 2: Convert to fraction form
    224,032/346,924 = 346,924/x
  3. Step 3: Cross multiply
    224,032x = 346,924 × 346,924
  4. Step 4: Simplify right side
    224,032x = 120,356,261,776
  5. Step 5: Solve for x
    x = 120,356,261,776/224,032
  6. Step 6: Final answer
    x = 537,227.99

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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.