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Finding the Third Proportional to 133,038 and 288,220

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Solution

The third proportional to 133,038 and 288,220 is: 624,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 288,220 = 288,220 : x
  2. Step 2: Convert to fraction form
    133,038/288,220 = 288,220/x
  3. Step 3: Cross multiply
    133,038x = 288,220 × 288,220
  4. Step 4: Simplify right side
    133,038x = 83,070,768,400
  5. Step 5: Solve for x
    x = 83,070,768,400/133,038
  6. Step 6: Final answer
    x = 624,413.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.