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Finding the Third Proportional to 201,569 and 304,961

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Solution

The third proportional to 201,569 and 304,961 is: 461,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,569 : 304,961 = 304,961 : x
  2. Step 2: Convert to fraction form
    201,569/304,961 = 304,961/x
  3. Step 3: Cross multiply
    201,569x = 304,961 × 304,961
  4. Step 4: Simplify right side
    201,569x = 93,001,211,521
  5. Step 5: Solve for x
    x = 93,001,211,521/201,569
  6. Step 6: Final answer
    x = 461,386.48

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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.