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Finding the Third Proportional to 165,483.50 and 357,204

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Solution

The third proportional to 165,483.50 and 357,204 is: 771,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,483.50 : 357,204 = 357,204 : x
  2. Step 2: Convert to fraction form
    165,483.50/357,204 = 357,204/x
  3. Step 3: Cross multiply
    165,483.50x = 357,204 × 357,204
  4. Step 4: Simplify right side
    165,483.50x = 127,594,697,616
  5. Step 5: Solve for x
    x = 127,594,697,616/165,483.50
  6. Step 6: Final answer
    x = 771,041.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.