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Finding the Third Proportional to 172,527.75 and 264,816.75

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Solution

The third proportional to 172,527.75 and 264,816.75 is: 406,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,527.75 : 264,816.75 = 264,816.75 : x
  2. Step 2: Convert to fraction form
    172,527.75/264,816.75 = 264,816.75/x
  3. Step 3: Cross multiply
    172,527.75x = 264,816.75 × 264,816.75
  4. Step 4: Simplify right side
    172,527.75x = 70,127,911,080.56
  5. Step 5: Solve for x
    x = 70,127,911,080.56/172,527.75
  6. Step 6: Final answer
    x = 406,473.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.