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Finding the Third Proportional to 201,565 and 304,955

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Solution

The third proportional to 201,565 and 304,955 is: 461,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,565 : 304,955 = 304,955 : x
  2. Step 2: Convert to fraction form
    201,565/304,955 = 304,955/x
  3. Step 3: Cross multiply
    201,565x = 304,955 × 304,955
  4. Step 4: Simplify right side
    201,565x = 92,997,552,025
  5. Step 5: Solve for x
    x = 92,997,552,025/201,565
  6. Step 6: Final answer
    x = 461,377.48

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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.