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Finding the Third Proportional to 191,043 and 410,265

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Solution

The third proportional to 191,043 and 410,265 is: 881,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,043 : 410,265 = 410,265 : x
  2. Step 2: Convert to fraction form
    191,043/410,265 = 410,265/x
  3. Step 3: Cross multiply
    191,043x = 410,265 × 410,265
  4. Step 4: Simplify right side
    191,043x = 168,317,370,225
  5. Step 5: Solve for x
    x = 168,317,370,225/191,043
  6. Step 6: Final answer
    x = 881,044.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.