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Finding the Third Proportional to 201,835.50 and 465,210

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Solution

The third proportional to 201,835.50 and 465,210 is: 1,072,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,835.50 : 465,210 = 465,210 : x
  2. Step 2: Convert to fraction form
    201,835.50/465,210 = 465,210/x
  3. Step 3: Cross multiply
    201,835.50x = 465,210 × 465,210
  4. Step 4: Simplify right side
    201,835.50x = 216,420,344,100
  5. Step 5: Solve for x
    x = 216,420,344,100/201,835.50
  6. Step 6: Final answer
    x = 1,072,261.04

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.