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Finding the Third Proportional to 161,836.50 and 359,043

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Solution

The third proportional to 161,836.50 and 359,043 is: 796,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,836.50 : 359,043 = 359,043 : x
  2. Step 2: Convert to fraction form
    161,836.50/359,043 = 359,043/x
  3. Step 3: Cross multiply
    161,836.50x = 359,043 × 359,043
  4. Step 4: Simplify right side
    161,836.50x = 128,911,875,849
  5. Step 5: Solve for x
    x = 128,911,875,849/161,836.50
  6. Step 6: Final answer
    x = 796,556.25

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.