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Finding the Third Proportional to 141,383 and 304,901.75

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Solution

The third proportional to 141,383 and 304,901.75 is: 657,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,383 : 304,901.75 = 304,901.75 : x
  2. Step 2: Convert to fraction form
    141,383/304,901.75 = 304,901.75/x
  3. Step 3: Cross multiply
    141,383x = 304,901.75 × 304,901.75
  4. Step 4: Simplify right side
    141,383x = 92,965,077,153.06
  5. Step 5: Solve for x
    x = 92,965,077,153.06/141,383
  6. Step 6: Final answer
    x = 657,540.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.