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Finding the Third Proportional to 180,865.50 and 266,070

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Solution

The third proportional to 180,865.50 and 266,070 is: 391,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,865.50 : 266,070 = 266,070 : x
  2. Step 2: Convert to fraction form
    180,865.50/266,070 = 266,070/x
  3. Step 3: Cross multiply
    180,865.50x = 266,070 × 266,070
  4. Step 4: Simplify right side
    180,865.50x = 70,793,244,900
  5. Step 5: Solve for x
    x = 70,793,244,900/180,865.50
  6. Step 6: Final answer
    x = 391,413.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.