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Finding the Third Proportional to 107,068 and 228,952

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Solution

The third proportional to 107,068 and 228,952 is: 489,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,068 : 228,952 = 228,952 : x
  2. Step 2: Convert to fraction form
    107,068/228,952 = 228,952/x
  3. Step 3: Cross multiply
    107,068x = 228,952 × 228,952
  4. Step 4: Simplify right side
    107,068x = 52,419,018,304
  5. Step 5: Solve for x
    x = 52,419,018,304/107,068
  6. Step 6: Final answer
    x = 489,586.23

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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.