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Finding the Third Proportional to 168,978 and 357,370

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Solution

The third proportional to 168,978 and 357,370 is: 755,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,978 : 357,370 = 357,370 : x
  2. Step 2: Convert to fraction form
    168,978/357,370 = 357,370/x
  3. Step 3: Cross multiply
    168,978x = 357,370 × 357,370
  4. Step 4: Simplify right side
    168,978x = 127,713,316,900
  5. Step 5: Solve for x
    x = 127,713,316,900/168,978
  6. Step 6: Final answer
    x = 755,798.49

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.