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Finding the Third Proportional to 136,426.50 and 294,579

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Solution

The third proportional to 136,426.50 and 294,579 is: 636,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,426.50 : 294,579 = 294,579 : x
  2. Step 2: Convert to fraction form
    136,426.50/294,579 = 294,579/x
  3. Step 3: Cross multiply
    136,426.50x = 294,579 × 294,579
  4. Step 4: Simplify right side
    136,426.50x = 86,776,787,241
  5. Step 5: Solve for x
    x = 86,776,787,241/136,426.50
  6. Step 6: Final answer
    x = 636,069.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.