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Finding the Third Proportional to 136,269.84 and 293,369.34

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Solution

The third proportional to 136,269.84 and 293,369.34 is: 631,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,269.84 : 293,369.34 = 293,369.34 : x
  2. Step 2: Convert to fraction form
    136,269.84/293,369.34 = 293,369.34/x
  3. Step 3: Cross multiply
    136,269.84x = 293,369.34 × 293,369.34
  4. Step 4: Simplify right side
    136,269.84x = 86,065,571,852.31
  5. Step 5: Solve for x
    x = 86,065,571,852.31/136,269.84
  6. Step 6: Final answer
    x = 631,581.94

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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.