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Finding the Third Proportional to 196,078.50 and 302,926.50

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Solution

The third proportional to 196,078.50 and 302,926.50 is: 467,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,078.50 : 302,926.50 = 302,926.50 : x
  2. Step 2: Convert to fraction form
    196,078.50/302,926.50 = 302,926.50/x
  3. Step 3: Cross multiply
    196,078.50x = 302,926.50 × 302,926.50
  4. Step 4: Simplify right side
    196,078.50x = 91,764,464,402.25
  5. Step 5: Solve for x
    x = 91,764,464,402.25/196,078.50
  6. Step 6: Final answer
    x = 467,998.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.