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Finding the Third Proportional to 211,671.13 and 301,740.13

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Solution

The third proportional to 211,671.13 and 301,740.13 is: 430,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,671.13 : 301,740.13 = 301,740.13 : x
  2. Step 2: Convert to fraction form
    211,671.13/301,740.13 = 301,740.13/x
  3. Step 3: Cross multiply
    211,671.13x = 301,740.13 × 301,740.13
  4. Step 4: Simplify right side
    211,671.13x = 91,047,103,035.02
  5. Step 5: Solve for x
    x = 91,047,103,035.02/211,671.13
  6. Step 6: Final answer
    x = 430,134.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.