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Finding the Third Proportional to 201,550 and 304,931

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Solution

The third proportional to 201,550 and 304,931 is: 461,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,550 : 304,931 = 304,931 : x
  2. Step 2: Convert to fraction form
    201,550/304,931 = 304,931/x
  3. Step 3: Cross multiply
    201,550x = 304,931 × 304,931
  4. Step 4: Simplify right side
    201,550x = 92,982,914,761
  5. Step 5: Solve for x
    x = 92,982,914,761/201,550
  6. Step 6: Final answer
    x = 461,339.20

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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.