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Finding the Third Proportional to 196,957.50 and 286,823

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Solution

The third proportional to 196,957.50 and 286,823 is: 417,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,957.50 : 286,823 = 286,823 : x
  2. Step 2: Convert to fraction form
    196,957.50/286,823 = 286,823/x
  3. Step 3: Cross multiply
    196,957.50x = 286,823 × 286,823
  4. Step 4: Simplify right side
    196,957.50x = 82,267,433,329
  5. Step 5: Solve for x
    x = 82,267,433,329/196,957.50
  6. Step 6: Final answer
    x = 417,691.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.