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Finding the Third Proportional to 196,364 and 296,184

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Solution

The third proportional to 196,364 and 296,184 is: 446,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,364 : 296,184 = 296,184 : x
  2. Step 2: Convert to fraction form
    196,364/296,184 = 296,184/x
  3. Step 3: Cross multiply
    196,364x = 296,184 × 296,184
  4. Step 4: Simplify right side
    196,364x = 87,724,961,856
  5. Step 5: Solve for x
    x = 87,724,961,856/196,364
  6. Step 6: Final answer
    x = 446,746.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.