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Finding the Third Proportional to 195,791 and 427,532.50

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Solution

The third proportional to 195,791 and 427,532.50 is: 933,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,791 : 427,532.50 = 427,532.50 : x
  2. Step 2: Convert to fraction form
    195,791/427,532.50 = 427,532.50/x
  3. Step 3: Cross multiply
    195,791x = 427,532.50 × 427,532.50
  4. Step 4: Simplify right side
    195,791x = 182,784,038,556.25
  5. Step 5: Solve for x
    x = 182,784,038,556.25/195,791
  6. Step 6: Final answer
    x = 933,567.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.