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Finding the Third Proportional to 197,006 and 295,437

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Solution

The third proportional to 197,006 and 295,437 is: 443,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,006 : 295,437 = 295,437 : x
  2. Step 2: Convert to fraction form
    197,006/295,437 = 295,437/x
  3. Step 3: Cross multiply
    197,006x = 295,437 × 295,437
  4. Step 4: Simplify right side
    197,006x = 87,283,020,969
  5. Step 5: Solve for x
    x = 87,283,020,969/197,006
  6. Step 6: Final answer
    x = 443,047.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.