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Finding the Third Proportional to 210,276.75 and 302,257.13

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Solution

The third proportional to 210,276.75 and 302,257.13 is: 434,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,276.75 : 302,257.13 = 302,257.13 : x
  2. Step 2: Convert to fraction form
    210,276.75/302,257.13 = 302,257.13/x
  3. Step 3: Cross multiply
    210,276.75x = 302,257.13 × 302,257.13
  4. Step 4: Simplify right side
    210,276.75x = 91,359,369,613.27
  5. Step 5: Solve for x
    x = 91,359,369,613.27/210,276.75
  6. Step 6: Final answer
    x = 434,472.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.