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Finding the Third Proportional to 202,405 and 302,487

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Solution

The third proportional to 202,405 and 302,487 is: 452,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,405 : 302,487 = 302,487 : x
  2. Step 2: Convert to fraction form
    202,405/302,487 = 302,487/x
  3. Step 3: Cross multiply
    202,405x = 302,487 × 302,487
  4. Step 4: Simplify right side
    202,405x = 91,498,385,169
  5. Step 5: Solve for x
    x = 91,498,385,169/202,405
  6. Step 6: Final answer
    x = 452,055.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.