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Finding the Third Proportional to 210,384.75 and 295,921.13

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Solution

The third proportional to 210,384.75 and 295,921.13 is: 416,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,384.75 : 295,921.13 = 295,921.13 : x
  2. Step 2: Convert to fraction form
    210,384.75/295,921.13 = 295,921.13/x
  3. Step 3: Cross multiply
    210,384.75x = 295,921.13 × 295,921.13
  4. Step 4: Simplify right side
    210,384.75x = 87,569,312,221.27
  5. Step 5: Solve for x
    x = 87,569,312,221.27/210,384.75
  6. Step 6: Final answer
    x = 416,234.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.