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Finding the Third Proportional to 196,034 and 288,309

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Solution

The third proportional to 196,034 and 288,309 is: 424,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,034 : 288,309 = 288,309 : x
  2. Step 2: Convert to fraction form
    196,034/288,309 = 288,309/x
  3. Step 3: Cross multiply
    196,034x = 288,309 × 288,309
  4. Step 4: Simplify right side
    196,034x = 83,122,079,481
  5. Step 5: Solve for x
    x = 83,122,079,481/196,034
  6. Step 6: Final answer
    x = 424,018.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.