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Finding the Third Proportional to 105,850 and 228,319

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Solution

The third proportional to 105,850 and 228,319 is: 492,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,850 : 228,319 = 228,319 : x
  2. Step 2: Convert to fraction form
    105,850/228,319 = 228,319/x
  3. Step 3: Cross multiply
    105,850x = 228,319 × 228,319
  4. Step 4: Simplify right side
    105,850x = 52,129,565,761
  5. Step 5: Solve for x
    x = 52,129,565,761/105,850
  6. Step 6: Final answer
    x = 492,485.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.