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Finding the Third Proportional to 197,202 and 431,925

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Solution

The third proportional to 197,202 and 431,925 is: 946,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,202 : 431,925 = 431,925 : x
  2. Step 2: Convert to fraction form
    197,202/431,925 = 431,925/x
  3. Step 3: Cross multiply
    197,202x = 431,925 × 431,925
  4. Step 4: Simplify right side
    197,202x = 186,559,205,625
  5. Step 5: Solve for x
    x = 186,559,205,625/197,202
  6. Step 6: Final answer
    x = 946,031.00

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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.