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Finding the Third Proportional to 197,316 and 294,810

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Solution

The third proportional to 197,316 and 294,810 is: 440,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,316 : 294,810 = 294,810 : x
  2. Step 2: Convert to fraction form
    197,316/294,810 = 294,810/x
  3. Step 3: Cross multiply
    197,316x = 294,810 × 294,810
  4. Step 4: Simplify right side
    197,316x = 86,912,936,100
  5. Step 5: Solve for x
    x = 86,912,936,100/197,316
  6. Step 6: Final answer
    x = 440,475.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.