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Finding the Third Proportional to 103,634 and 221,486

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Solution

The third proportional to 103,634 and 221,486 is: 473,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634 : 221,486 = 221,486 : x
  2. Step 2: Convert to fraction form
    103,634/221,486 = 221,486/x
  3. Step 3: Cross multiply
    103,634x = 221,486 × 221,486
  4. Step 4: Simplify right side
    103,634x = 49,056,048,196
  5. Step 5: Solve for x
    x = 49,056,048,196/103,634
  6. Step 6: Final answer
    x = 473,358.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.