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Finding the Third Proportional to 141,636.38 and 304,323.75

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Solution

The third proportional to 141,636.38 and 304,323.75 is: 653,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,636.38 : 304,323.75 = 304,323.75 : x
  2. Step 2: Convert to fraction form
    141,636.38/304,323.75 = 304,323.75/x
  3. Step 3: Cross multiply
    141,636.38x = 304,323.75 × 304,323.75
  4. Step 4: Simplify right side
    141,636.38x = 92,612,944,814.06
  5. Step 5: Solve for x
    x = 92,612,944,814.06/141,636.38
  6. Step 6: Final answer
    x = 653,878.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.