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Finding the Third Proportional to 141,378 and 304,898

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Solution

The third proportional to 141,378 and 304,898 is: 657,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,378 : 304,898 = 304,898 : x
  2. Step 2: Convert to fraction form
    141,378/304,898 = 304,898/x
  3. Step 3: Cross multiply
    141,378x = 304,898 × 304,898
  4. Step 4: Simplify right side
    141,378x = 92,962,790,404
  5. Step 5: Solve for x
    x = 92,962,790,404/141,378
  6. Step 6: Final answer
    x = 657,547.78

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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.