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Finding the Third Proportional to 191,031 and 410,253

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Solution

The third proportional to 191,031 and 410,253 is: 881,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,031 : 410,253 = 410,253 : x
  2. Step 2: Convert to fraction form
    191,031/410,253 = 410,253/x
  3. Step 3: Cross multiply
    191,031x = 410,253 × 410,253
  4. Step 4: Simplify right side
    191,031x = 168,307,524,009
  5. Step 5: Solve for x
    x = 168,307,524,009/191,031
  6. Step 6: Final answer
    x = 881,048.23

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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.