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Finding the Third Proportional to 141,425 and 310,063

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Solution

The third proportional to 141,425 and 310,063 is: 679,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,425 : 310,063 = 310,063 : x
  2. Step 2: Convert to fraction form
    141,425/310,063 = 310,063/x
  3. Step 3: Cross multiply
    141,425x = 310,063 × 310,063
  4. Step 4: Simplify right side
    141,425x = 96,139,063,969
  5. Step 5: Solve for x
    x = 96,139,063,969/141,425
  6. Step 6: Final answer
    x = 679,788.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.