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Finding the Third Proportional to 197,133.75 and 431,416.13

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Solution

The third proportional to 197,133.75 and 431,416.13 is: 944,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,133.75 : 431,416.13 = 431,416.13 : x
  2. Step 2: Convert to fraction form
    197,133.75/431,416.13 = 431,416.13/x
  3. Step 3: Cross multiply
    197,133.75x = 431,416.13 × 431,416.13
  4. Step 4: Simplify right side
    197,133.75x = 186,119,872,910.02
  5. Step 5: Solve for x
    x = 186,119,872,910.02/197,133.75
  6. Step 6: Final answer
    x = 944,129.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.