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Finding the Third Proportional to 104,270 and 223,300

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Solution

The third proportional to 104,270 and 223,300 is: 478,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,270 : 223,300 = 223,300 : x
  2. Step 2: Convert to fraction form
    104,270/223,300 = 223,300/x
  3. Step 3: Cross multiply
    104,270x = 223,300 × 223,300
  4. Step 4: Simplify right side
    104,270x = 49,862,890,000
  5. Step 5: Solve for x
    x = 49,862,890,000/104,270
  6. Step 6: Final answer
    x = 478,209.36

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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.