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Finding the Third Proportional to 103,778 and 228,292

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Solution

The third proportional to 103,778 and 228,292 is: 502,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,778 : 228,292 = 228,292 : x
  2. Step 2: Convert to fraction form
    103,778/228,292 = 228,292/x
  3. Step 3: Cross multiply
    103,778x = 228,292 × 228,292
  4. Step 4: Simplify right side
    103,778x = 52,117,237,264
  5. Step 5: Solve for x
    x = 52,117,237,264/103,778
  6. Step 6: Final answer
    x = 502,199.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.