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Finding the Third Proportional to 196,543.13 and 296,434.69

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Solution

The third proportional to 196,543.13 and 296,434.69 is: 447,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,543.13 : 296,434.69 = 296,434.69 : x
  2. Step 2: Convert to fraction form
    196,543.13/296,434.69 = 296,434.69/x
  3. Step 3: Cross multiply
    196,543.13x = 296,434.69 × 296,434.69
  4. Step 4: Simplify right side
    196,543.13x = 87,873,523,953.22
  5. Step 5: Solve for x
    x = 87,873,523,953.22/196,543.13
  6. Step 6: Final answer
    x = 447,095.38

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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.