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Finding the Third Proportional to 223,740 and 345,663

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Solution

The third proportional to 223,740 and 345,663 is: 534,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,740 : 345,663 = 345,663 : x
  2. Step 2: Convert to fraction form
    223,740/345,663 = 345,663/x
  3. Step 3: Cross multiply
    223,740x = 345,663 × 345,663
  4. Step 4: Simplify right side
    223,740x = 119,482,909,569
  5. Step 5: Solve for x
    x = 119,482,909,569/223,740
  6. Step 6: Final answer
    x = 534,025.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.