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Finding the Third Proportional to 185,028 and 264,396

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Solution

The third proportional to 185,028 and 264,396 is: 377,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,028 : 264,396 = 264,396 : x
  2. Step 2: Convert to fraction form
    185,028/264,396 = 264,396/x
  3. Step 3: Cross multiply
    185,028x = 264,396 × 264,396
  4. Step 4: Simplify right side
    185,028x = 69,905,244,816
  5. Step 5: Solve for x
    x = 69,905,244,816/185,028
  6. Step 6: Final answer
    x = 377,809.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.