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Finding the Third Proportional to 103,308 and 224,000

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Solution

The third proportional to 103,308 and 224,000 is: 485,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,308 : 224,000 = 224,000 : x
  2. Step 2: Convert to fraction form
    103,308/224,000 = 224,000/x
  3. Step 3: Cross multiply
    103,308x = 224,000 × 224,000
  4. Step 4: Simplify right side
    103,308x = 50,176,000,000
  5. Step 5: Solve for x
    x = 50,176,000,000/103,308
  6. Step 6: Final answer
    x = 485,693.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.