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Finding the Third Proportional to 230,302.50 and 499,942.50

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Solution

The third proportional to 230,302.50 and 499,942.50 is: 1,085,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,302.50 : 499,942.50 = 499,942.50 : x
  2. Step 2: Convert to fraction form
    230,302.50/499,942.50 = 499,942.50/x
  3. Step 3: Cross multiply
    230,302.50x = 499,942.50 × 499,942.50
  4. Step 4: Simplify right side
    230,302.50x = 249,942,503,306.25
  5. Step 5: Solve for x
    x = 249,942,503,306.25/230,302.50
  6. Step 6: Final answer
    x = 1,085,279.16

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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.