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Finding the Third Proportional to 135,700.31 and 294,364.13

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Solution

The third proportional to 135,700.31 and 294,364.13 is: 638,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,700.31 : 294,364.13 = 294,364.13 : x
  2. Step 2: Convert to fraction form
    135,700.31/294,364.13 = 294,364.13/x
  3. Step 3: Cross multiply
    135,700.31x = 294,364.13 × 294,364.13
  4. Step 4: Simplify right side
    135,700.31x = 86,650,238,087.02
  5. Step 5: Solve for x
    x = 86,650,238,087.02/135,700.31
  6. Step 6: Final answer
    x = 638,541.18

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Why These Related Problems?

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