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Finding the Third Proportional to 193,147.03 and 416,779.17

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Solution

The third proportional to 193,147.03 and 416,779.17 is: 899,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,147.03 : 416,779.17 = 416,779.17 : x
  2. Step 2: Convert to fraction form
    193,147.03/416,779.17 = 416,779.17/x
  3. Step 3: Cross multiply
    193,147.03x = 416,779.17 × 416,779.17
  4. Step 4: Simplify right side
    193,147.03x = 173,704,878,108.81
  5. Step 5: Solve for x
    x = 173,704,878,108.81/193,147.03
  6. Step 6: Final answer
    x = 899,340.14

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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.