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Finding the Third Proportional to 141,414 and 304,968

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Solution

The third proportional to 141,414 and 304,968 is: 657,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,414 : 304,968 = 304,968 : x
  2. Step 2: Convert to fraction form
    141,414/304,968 = 304,968/x
  3. Step 3: Cross multiply
    141,414x = 304,968 × 304,968
  4. Step 4: Simplify right side
    141,414x = 93,005,481,024
  5. Step 5: Solve for x
    x = 93,005,481,024/141,414
  6. Step 6: Final answer
    x = 657,682.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.