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Finding the Third Proportional to 200,748 and 302,823

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Solution

The third proportional to 200,748 and 302,823 is: 456,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,748 : 302,823 = 302,823 : x
  2. Step 2: Convert to fraction form
    200,748/302,823 = 302,823/x
  3. Step 3: Cross multiply
    200,748x = 302,823 × 302,823
  4. Step 4: Simplify right side
    200,748x = 91,701,769,329
  5. Step 5: Solve for x
    x = 91,701,769,329/200,748
  6. Step 6: Final answer
    x = 456,800.41

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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.