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Finding the Third Proportional to 177,833.25 and 316,193.63

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Solution

The third proportional to 177,833.25 and 316,193.63 is: 562,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,833.25 : 316,193.63 = 316,193.63 : x
  2. Step 2: Convert to fraction form
    177,833.25/316,193.63 = 316,193.63/x
  3. Step 3: Cross multiply
    177,833.25x = 316,193.63 × 316,193.63
  4. Step 4: Simplify right side
    177,833.25x = 99,978,408,490.64
  5. Step 5: Solve for x
    x = 99,978,408,490.64/177,833.25
  6. Step 6: Final answer
    x = 562,203.12

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.