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Finding the Third Proportional to 141,374 and 304,895

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Solution

The third proportional to 141,374 and 304,895 is: 657,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,374 : 304,895 = 304,895 : x
  2. Step 2: Convert to fraction form
    141,374/304,895 = 304,895/x
  3. Step 3: Cross multiply
    141,374x = 304,895 × 304,895
  4. Step 4: Simplify right side
    141,374x = 92,960,961,025
  5. Step 5: Solve for x
    x = 92,960,961,025/141,374
  6. Step 6: Final answer
    x = 657,553.45

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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.