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Finding the Third Proportional to 141,642 and 304,334.25

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Solution

The third proportional to 141,642 and 304,334.25 is: 653,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,642 : 304,334.25 = 304,334.25 : x
  2. Step 2: Convert to fraction form
    141,642/304,334.25 = 304,334.25/x
  3. Step 3: Cross multiply
    141,642x = 304,334.25 × 304,334.25
  4. Step 4: Simplify right side
    141,642x = 92,619,335,723.06
  5. Step 5: Solve for x
    x = 92,619,335,723.06/141,642
  6. Step 6: Final answer
    x = 653,897.40

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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.