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Finding the Third Proportional to 104,564 and 228,712

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Solution

The third proportional to 104,564 and 228,712 is: 500,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,564 : 228,712 = 228,712 : x
  2. Step 2: Convert to fraction form
    104,564/228,712 = 228,712/x
  3. Step 3: Cross multiply
    104,564x = 228,712 × 228,712
  4. Step 4: Simplify right side
    104,564x = 52,309,178,944
  5. Step 5: Solve for x
    x = 52,309,178,944/104,564
  6. Step 6: Final answer
    x = 500,259.93

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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.