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Finding the Third Proportional to 134,886 and 295,470

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Solution

The third proportional to 134,886 and 295,470 is: 647,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,886 : 295,470 = 295,470 : x
  2. Step 2: Convert to fraction form
    134,886/295,470 = 295,470/x
  3. Step 3: Cross multiply
    134,886x = 295,470 × 295,470
  4. Step 4: Simplify right side
    134,886x = 87,302,520,900
  5. Step 5: Solve for x
    x = 87,302,520,900/134,886
  6. Step 6: Final answer
    x = 647,231.89

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