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Finding the Third Proportional to 201,573 and 304,967

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Solution

The third proportional to 201,573 and 304,967 is: 461,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,573 : 304,967 = 304,967 : x
  2. Step 2: Convert to fraction form
    201,573/304,967 = 304,967/x
  3. Step 3: Cross multiply
    201,573x = 304,967 × 304,967
  4. Step 4: Simplify right side
    201,573x = 93,004,871,089
  5. Step 5: Solve for x
    x = 93,004,871,089/201,573
  6. Step 6: Final answer
    x = 461,395.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.