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Finding the Third Proportional to 210,390.75 and 295,930.13

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Solution

The third proportional to 210,390.75 and 295,930.13 is: 416,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,390.75 : 295,930.13 = 295,930.13 : x
  2. Step 2: Convert to fraction form
    210,390.75/295,930.13 = 295,930.13/x
  3. Step 3: Cross multiply
    210,390.75x = 295,930.13 × 295,930.13
  4. Step 4: Simplify right side
    210,390.75x = 87,574,638,882.52
  5. Step 5: Solve for x
    x = 87,574,638,882.52/210,390.75
  6. Step 6: Final answer
    x = 416,247.57

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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.