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Finding the Third Proportional to 223,414.88 and 312,521.63

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Solution

The third proportional to 223,414.88 and 312,521.63 is: 437,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,414.88 : 312,521.63 = 312,521.63 : x
  2. Step 2: Convert to fraction form
    223,414.88/312,521.63 = 312,521.63/x
  3. Step 3: Cross multiply
    223,414.88x = 312,521.63 × 312,521.63
  4. Step 4: Simplify right side
    223,414.88x = 97,669,766,092.64
  5. Step 5: Solve for x
    x = 97,669,766,092.64/223,414.88
  6. Step 6: Final answer
    x = 437,167.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.