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Finding the Third Proportional to 196,357.50 and 302,259

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Solution

The third proportional to 196,357.50 and 302,259 is: 465,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,357.50 : 302,259 = 302,259 : x
  2. Step 2: Convert to fraction form
    196,357.50/302,259 = 302,259/x
  3. Step 3: Cross multiply
    196,357.50x = 302,259 × 302,259
  4. Step 4: Simplify right side
    196,357.50x = 91,360,503,081
  5. Step 5: Solve for x
    x = 91,360,503,081/196,357.50
  6. Step 6: Final answer
    x = 465,276.36

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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.