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Finding the Third Proportional to 200,402 and 300,051

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Solution

The third proportional to 200,402 and 300,051 is: 449,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,402 : 300,051 = 300,051 : x
  2. Step 2: Convert to fraction form
    200,402/300,051 = 300,051/x
  3. Step 3: Cross multiply
    200,402x = 300,051 × 300,051
  4. Step 4: Simplify right side
    200,402x = 90,030,602,601
  5. Step 5: Solve for x
    x = 90,030,602,601/200,402
  6. Step 6: Final answer
    x = 449,250.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.