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Finding the Third Proportional to 200,747 and 302,822

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Solution

The third proportional to 200,747 and 302,822 is: 456,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,747 : 302,822 = 302,822 : x
  2. Step 2: Convert to fraction form
    200,747/302,822 = 302,822/x
  3. Step 3: Cross multiply
    200,747x = 302,822 × 302,822
  4. Step 4: Simplify right side
    200,747x = 91,701,163,684
  5. Step 5: Solve for x
    x = 91,701,163,684/200,747
  6. Step 6: Final answer
    x = 456,799.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.