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Finding the Third Proportional to 104,643 and 228,843

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Solution

The third proportional to 104,643 and 228,843 is: 500,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,643 : 228,843 = 228,843 : x
  2. Step 2: Convert to fraction form
    104,643/228,843 = 228,843/x
  3. Step 3: Cross multiply
    104,643x = 228,843 × 228,843
  4. Step 4: Simplify right side
    104,643x = 52,369,118,649
  5. Step 5: Solve for x
    x = 52,369,118,649/104,643
  6. Step 6: Final answer
    x = 500,455.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.