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Finding the Third Proportional to 141,411.50 and 304,963

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Solution

The third proportional to 141,411.50 and 304,963 is: 657,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,411.50 : 304,963 = 304,963 : x
  2. Step 2: Convert to fraction form
    141,411.50/304,963 = 304,963/x
  3. Step 3: Cross multiply
    141,411.50x = 304,963 × 304,963
  4. Step 4: Simplify right side
    141,411.50x = 93,002,431,369
  5. Step 5: Solve for x
    x = 93,002,431,369/141,411.50
  6. Step 6: Final answer
    x = 657,672.33

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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.