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Finding the Third Proportional to 197,196 and 431,709

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Solution

The third proportional to 197,196 and 431,709 is: 945,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,196 : 431,709 = 431,709 : x
  2. Step 2: Convert to fraction form
    197,196/431,709 = 431,709/x
  3. Step 3: Cross multiply
    197,196x = 431,709 × 431,709
  4. Step 4: Simplify right side
    197,196x = 186,372,660,681
  5. Step 5: Solve for x
    x = 186,372,660,681/197,196
  6. Step 6: Final answer
    x = 945,113.80

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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.