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Finding the Third Proportional to 172,090.13 and 373,731.75

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Solution

The third proportional to 172,090.13 and 373,731.75 is: 811,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,090.13 : 373,731.75 = 373,731.75 : x
  2. Step 2: Convert to fraction form
    172,090.13/373,731.75 = 373,731.75/x
  3. Step 3: Cross multiply
    172,090.13x = 373,731.75 × 373,731.75
  4. Step 4: Simplify right side
    172,090.13x = 139,675,420,958.06
  5. Step 5: Solve for x
    x = 139,675,420,958.06/172,090.13
  6. Step 6: Final answer
    x = 811,641.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.