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Finding the Third Proportional to 201,808.50 and 465,142.50

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Solution

The third proportional to 201,808.50 and 465,142.50 is: 1,072,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808.50 : 465,142.50 = 465,142.50 : x
  2. Step 2: Convert to fraction form
    201,808.50/465,142.50 = 465,142.50/x
  3. Step 3: Cross multiply
    201,808.50x = 465,142.50 × 465,142.50
  4. Step 4: Simplify right side
    201,808.50x = 216,357,545,306.25
  5. Step 5: Solve for x
    x = 216,357,545,306.25/201,808.50
  6. Step 6: Final answer
    x = 1,072,093.32

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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.