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Finding the Third Proportional to 154,240 and 233,303

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Solution

The third proportional to 154,240 and 233,303 is: 352,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,240 : 233,303 = 233,303 : x
  2. Step 2: Convert to fraction form
    154,240/233,303 = 233,303/x
  3. Step 3: Cross multiply
    154,240x = 233,303 × 233,303
  4. Step 4: Simplify right side
    154,240x = 54,430,289,809
  5. Step 5: Solve for x
    x = 54,430,289,809/154,240
  6. Step 6: Final answer
    x = 352,893.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.