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Finding the Third Proportional to 233,572.50 and 365,924.25

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Solution

The third proportional to 233,572.50 and 365,924.25 is: 573,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,572.50 : 365,924.25 = 365,924.25 : x
  2. Step 2: Convert to fraction form
    233,572.50/365,924.25 = 365,924.25/x
  3. Step 3: Cross multiply
    233,572.50x = 365,924.25 × 365,924.25
  4. Step 4: Simplify right side
    233,572.50x = 133,900,556,738.06
  5. Step 5: Solve for x
    x = 133,900,556,738.06/233,572.50
  6. Step 6: Final answer
    x = 573,271.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.