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Finding the Third Proportional to 171,706.08 and 377,669.46

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Solution

The third proportional to 171,706.08 and 377,669.46 is: 830,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,706.08 : 377,669.46 = 377,669.46 : x
  2. Step 2: Convert to fraction form
    171,706.08/377,669.46 = 377,669.46/x
  3. Step 3: Cross multiply
    171,706.08x = 377,669.46 × 377,669.46
  4. Step 4: Simplify right side
    171,706.08x = 142,634,221,724.82
  5. Step 5: Solve for x
    x = 142,634,221,724.82/171,706.08
  6. Step 6: Final answer
    x = 830,688.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.