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Finding the Third Proportional to 97,292.50 and 213,740

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Solution

The third proportional to 97,292.50 and 213,740 is: 469,561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,292.50 : 213,740 = 213,740 : x
  2. Step 2: Convert to fraction form
    97,292.50/213,740 = 213,740/x
  3. Step 3: Cross multiply
    97,292.50x = 213,740 × 213,740
  4. Step 4: Simplify right side
    97,292.50x = 45,684,787,600
  5. Step 5: Solve for x
    x = 45,684,787,600/97,292.50
  6. Step 6: Final answer
    x = 469,561.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.