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Finding the Third Proportional to 196,957.50 and 286,825.50

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Solution

The third proportional to 196,957.50 and 286,825.50 is: 417,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,957.50 : 286,825.50 = 286,825.50 : x
  2. Step 2: Convert to fraction form
    196,957.50/286,825.50 = 286,825.50/x
  3. Step 3: Cross multiply
    196,957.50x = 286,825.50 × 286,825.50
  4. Step 4: Simplify right side
    196,957.50x = 82,268,867,450.25
  5. Step 5: Solve for x
    x = 82,268,867,450.25/196,957.50
  6. Step 6: Final answer
    x = 417,698.58

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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.