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Finding the Third Proportional to 233,581 and 360,722.75

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Solution

The third proportional to 233,581 and 360,722.75 is: 557,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,581 : 360,722.75 = 360,722.75 : x
  2. Step 2: Convert to fraction form
    233,581/360,722.75 = 360,722.75/x
  3. Step 3: Cross multiply
    233,581x = 360,722.75 × 360,722.75
  4. Step 4: Simplify right side
    233,581x = 130,120,902,367.56
  5. Step 5: Solve for x
    x = 130,120,902,367.56/233,581
  6. Step 6: Final answer
    x = 557,069.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.