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Finding the Third Proportional to 171,812.25 and 355,410

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Solution

The third proportional to 171,812.25 and 355,410 is: 735,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,812.25 : 355,410 = 355,410 : x
  2. Step 2: Convert to fraction form
    171,812.25/355,410 = 355,410/x
  3. Step 3: Cross multiply
    171,812.25x = 355,410 × 355,410
  4. Step 4: Simplify right side
    171,812.25x = 126,316,268,100
  5. Step 5: Solve for x
    x = 126,316,268,100/171,812.25
  6. Step 6: Final answer
    x = 735,199.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.