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Finding the Third Proportional to 141,028.50 and 301,716

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Solution

The third proportional to 141,028.50 and 301,716 is: 645,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,028.50 : 301,716 = 301,716 : x
  2. Step 2: Convert to fraction form
    141,028.50/301,716 = 301,716/x
  3. Step 3: Cross multiply
    141,028.50x = 301,716 × 301,716
  4. Step 4: Simplify right side
    141,028.50x = 91,032,544,656
  5. Step 5: Solve for x
    x = 91,032,544,656/141,028.50
  6. Step 6: Final answer
    x = 645,490.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.