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Finding the Third Proportional to 197,894 and 296,841

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Solution

The third proportional to 197,894 and 296,841 is: 445,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,894 : 296,841 = 296,841 : x
  2. Step 2: Convert to fraction form
    197,894/296,841 = 296,841/x
  3. Step 3: Cross multiply
    197,894x = 296,841 × 296,841
  4. Step 4: Simplify right side
    197,894x = 88,114,579,281
  5. Step 5: Solve for x
    x = 88,114,579,281/197,894
  6. Step 6: Final answer
    x = 445,261.50

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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.