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Finding the Third Proportional to 106,875 and 228,564

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Solution

The third proportional to 106,875 and 228,564 is: 488,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,875 : 228,564 = 228,564 : x
  2. Step 2: Convert to fraction form
    106,875/228,564 = 228,564/x
  3. Step 3: Cross multiply
    106,875x = 228,564 × 228,564
  4. Step 4: Simplify right side
    106,875x = 52,241,502,096
  5. Step 5: Solve for x
    x = 52,241,502,096/106,875
  6. Step 6: Final answer
    x = 488,809.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.