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Finding the Third Proportional to 163,815.75 and 357,936.75

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Solution

The third proportional to 163,815.75 and 357,936.75 is: 782,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,815.75 : 357,936.75 = 357,936.75 : x
  2. Step 2: Convert to fraction form
    163,815.75/357,936.75 = 357,936.75/x
  3. Step 3: Cross multiply
    163,815.75x = 357,936.75 × 357,936.75
  4. Step 4: Simplify right side
    163,815.75x = 128,118,717,000.56
  5. Step 5: Solve for x
    x = 128,118,717,000.56/163,815.75
  6. Step 6: Final answer
    x = 782,090.35

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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.