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Finding the Third Proportional to 191,719.50 and 403,265

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Solution

The third proportional to 191,719.50 and 403,265 is: 848,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,719.50 : 403,265 = 403,265 : x
  2. Step 2: Convert to fraction form
    191,719.50/403,265 = 403,265/x
  3. Step 3: Cross multiply
    191,719.50x = 403,265 × 403,265
  4. Step 4: Simplify right side
    191,719.50x = 162,622,660,225
  5. Step 5: Solve for x
    x = 162,622,660,225/191,719.50
  6. Step 6: Final answer
    x = 848,232.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.