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Finding the Third Proportional to 141,140 and 301,963

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Solution

The third proportional to 141,140 and 301,963 is: 646,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,140 : 301,963 = 301,963 : x
  2. Step 2: Convert to fraction form
    141,140/301,963 = 301,963/x
  3. Step 3: Cross multiply
    141,140x = 301,963 × 301,963
  4. Step 4: Simplify right side
    141,140x = 91,181,653,369
  5. Step 5: Solve for x
    x = 91,181,653,369/141,140
  6. Step 6: Final answer
    x = 646,036.94

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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.