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Finding the Third Proportional to 200,630 and 266,331

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Solution

The third proportional to 200,630 and 266,331 is: 353,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,630 : 266,331 = 266,331 : x
  2. Step 2: Convert to fraction form
    200,630/266,331 = 266,331/x
  3. Step 3: Cross multiply
    200,630x = 266,331 × 266,331
  4. Step 4: Simplify right side
    200,630x = 70,932,201,561
  5. Step 5: Solve for x
    x = 70,932,201,561/200,630
  6. Step 6: Final answer
    x = 353,547.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.