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Finding the Third Proportional to 222,436.13 and 344,714.48

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Solution

The third proportional to 222,436.13 and 344,714.48 is: 534,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,436.13 : 344,714.48 = 344,714.48 : x
  2. Step 2: Convert to fraction form
    222,436.13/344,714.48 = 344,714.48/x
  3. Step 3: Cross multiply
    222,436.13x = 344,714.48 × 344,714.48
  4. Step 4: Simplify right side
    222,436.13x = 118,828,075,737.92
  5. Step 5: Solve for x
    x = 118,828,075,737.92/222,436.13
  6. Step 6: Final answer
    x = 534,212.13

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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.