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Finding the Third Proportional to 136,926 and 294,075

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Solution

The third proportional to 136,926 and 294,075 is: 631,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,926 : 294,075 = 294,075 : x
  2. Step 2: Convert to fraction form
    136,926/294,075 = 294,075/x
  3. Step 3: Cross multiply
    136,926x = 294,075 × 294,075
  4. Step 4: Simplify right side
    136,926x = 86,480,105,625
  5. Step 5: Solve for x
    x = 86,480,105,625/136,926
  6. Step 6: Final answer
    x = 631,582.79

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Why These Related Problems?

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