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Finding the Third Proportional to 155,822 and 338,984

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Solution

The third proportional to 155,822 and 338,984 is: 737,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,822 : 338,984 = 338,984 : x
  2. Step 2: Convert to fraction form
    155,822/338,984 = 338,984/x
  3. Step 3: Cross multiply
    155,822x = 338,984 × 338,984
  4. Step 4: Simplify right side
    155,822x = 114,910,152,256
  5. Step 5: Solve for x
    x = 114,910,152,256/155,822
  6. Step 6: Final answer
    x = 737,444.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.