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Finding the Third Proportional to 191,076 and 410,340

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Solution

The third proportional to 191,076 and 410,340 is: 881,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,076 : 410,340 = 410,340 : x
  2. Step 2: Convert to fraction form
    191,076/410,340 = 410,340/x
  3. Step 3: Cross multiply
    191,076x = 410,340 × 410,340
  4. Step 4: Simplify right side
    191,076x = 168,378,915,600
  5. Step 5: Solve for x
    x = 168,378,915,600/191,076
  6. Step 6: Final answer
    x = 881,214.36

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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.