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Finding the Third Proportional to 141,256.13 and 304,918.88

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Solution

The third proportional to 141,256.13 and 304,918.88 is: 658,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,256.13 : 304,918.88 = 304,918.88 : x
  2. Step 2: Convert to fraction form
    141,256.13/304,918.88 = 304,918.88/x
  3. Step 3: Cross multiply
    141,256.13x = 304,918.88 × 304,918.88
  4. Step 4: Simplify right side
    141,256.13x = 92,975,520,331.27
  5. Step 5: Solve for x
    x = 92,975,520,331.27/141,256.13
  6. Step 6: Final answer
    x = 658,205.23

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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.