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Finding the Third Proportional to 107,070 and 228,956

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Solution

The third proportional to 107,070 and 228,956 is: 489,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,070 : 228,956 = 228,956 : x
  2. Step 2: Convert to fraction form
    107,070/228,956 = 228,956/x
  3. Step 3: Cross multiply
    107,070x = 228,956 × 228,956
  4. Step 4: Simplify right side
    107,070x = 52,420,849,936
  5. Step 5: Solve for x
    x = 52,420,849,936/107,070
  6. Step 6: Final answer
    x = 489,594.19

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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.