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Finding the Third Proportional to 201,563 and 304,952

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Solution

The third proportional to 201,563 and 304,952 is: 461,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,563 : 304,952 = 304,952 : x
  2. Step 2: Convert to fraction form
    201,563/304,952 = 304,952/x
  3. Step 3: Cross multiply
    201,563x = 304,952 × 304,952
  4. Step 4: Simplify right side
    201,563x = 92,995,722,304
  5. Step 5: Solve for x
    x = 92,995,722,304/201,563
  6. Step 6: Final answer
    x = 461,372.98

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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.