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Finding the Third Proportional to 134,947.50 and 290,654.63

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Solution

The third proportional to 134,947.50 and 290,654.63 is: 626,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,947.50 : 290,654.63 = 290,654.63 : x
  2. Step 2: Convert to fraction form
    134,947.50/290,654.63 = 290,654.63/x
  3. Step 3: Cross multiply
    134,947.50x = 290,654.63 × 290,654.63
  4. Step 4: Simplify right side
    134,947.50x = 84,480,111,033.89
  5. Step 5: Solve for x
    x = 84,480,111,033.89/134,947.50
  6. Step 6: Final answer
    x = 626,022.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.