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Finding the Third Proportional to 191,033 and 410,257

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Solution

The third proportional to 191,033 and 410,257 is: 881,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,033 : 410,257 = 410,257 : x
  2. Step 2: Convert to fraction form
    191,033/410,257 = 410,257/x
  3. Step 3: Cross multiply
    191,033x = 410,257 × 410,257
  4. Step 4: Simplify right side
    191,033x = 168,310,806,049
  5. Step 5: Solve for x
    x = 168,310,806,049/191,033
  6. Step 6: Final answer
    x = 881,056.18

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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.