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Finding the Third Proportional to 196,037 and 288,313

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Solution

The third proportional to 196,037 and 288,313 is: 424,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,037 : 288,313 = 288,313 : x
  2. Step 2: Convert to fraction form
    196,037/288,313 = 288,313/x
  3. Step 3: Cross multiply
    196,037x = 288,313 × 288,313
  4. Step 4: Simplify right side
    196,037x = 83,124,385,969
  5. Step 5: Solve for x
    x = 83,124,385,969/196,037
  6. Step 6: Final answer
    x = 424,023.96

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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.