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Finding the Third Proportional to 248,816.81 and 375,287.34

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Solution

The third proportional to 248,816.81 and 375,287.34 is: 566,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,816.81 : 375,287.34 = 375,287.34 : x
  2. Step 2: Convert to fraction form
    248,816.81/375,287.34 = 375,287.34/x
  3. Step 3: Cross multiply
    248,816.81x = 375,287.34 × 375,287.34
  4. Step 4: Simplify right side
    248,816.81x = 140,840,590,378.93
  5. Step 5: Solve for x
    x = 140,840,590,378.93/248,816.81
  6. Step 6: Final answer
    x = 566,041.29

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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.