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Finding the Third Proportional to 135,977.63 and 294,554.63

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Solution

The third proportional to 135,977.63 and 294,554.63 is: 638,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,977.63 : 294,554.63 = 294,554.63 : x
  2. Step 2: Convert to fraction form
    135,977.63/294,554.63 = 294,554.63/x
  3. Step 3: Cross multiply
    135,977.63x = 294,554.63 × 294,554.63
  4. Step 4: Simplify right side
    135,977.63x = 86,762,427,108.89
  5. Step 5: Solve for x
    x = 86,762,427,108.89/135,977.63
  6. Step 6: Final answer
    x = 638,064.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.