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Finding the Third Proportional to 133,722.56 and 293,688.56

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Solution

The third proportional to 133,722.56 and 293,688.56 is: 645,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,722.56 : 293,688.56 = 293,688.56 : x
  2. Step 2: Convert to fraction form
    133,722.56/293,688.56 = 293,688.56/x
  3. Step 3: Cross multiply
    133,722.56x = 293,688.56 × 293,688.56
  4. Step 4: Simplify right side
    133,722.56x = 86,252,971,743.32
  5. Step 5: Solve for x
    x = 86,252,971,743.32/133,722.56
  6. Step 6: Final answer
    x = 645,014.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.