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Finding the Third Proportional to 191,362.50 and 413,343

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Solution

The third proportional to 191,362.50 and 413,343 is: 892,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,362.50 : 413,343 = 413,343 : x
  2. Step 2: Convert to fraction form
    191,362.50/413,343 = 413,343/x
  3. Step 3: Cross multiply
    191,362.50x = 413,343 × 413,343
  4. Step 4: Simplify right side
    191,362.50x = 170,852,435,649
  5. Step 5: Solve for x
    x = 170,852,435,649/191,362.50
  6. Step 6: Final answer
    x = 892,820.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.