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Finding the Third Proportional to 141,138 and 301,959

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Solution

The third proportional to 141,138 and 301,959 is: 646,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,138 : 301,959 = 301,959 : x
  2. Step 2: Convert to fraction form
    141,138/301,959 = 301,959/x
  3. Step 3: Cross multiply
    141,138x = 301,959 × 301,959
  4. Step 4: Simplify right side
    141,138x = 91,179,237,681
  5. Step 5: Solve for x
    x = 91,179,237,681/141,138
  6. Step 6: Final answer
    x = 646,028.98

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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.