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Finding the Third Proportional to 166,056 and 343,927.50

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Solution

The third proportional to 166,056 and 343,927.50 is: 712,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,056 : 343,927.50 = 343,927.50 : x
  2. Step 2: Convert to fraction form
    166,056/343,927.50 = 343,927.50/x
  3. Step 3: Cross multiply
    166,056x = 343,927.50 × 343,927.50
  4. Step 4: Simplify right side
    166,056x = 118,286,125,256.25
  5. Step 5: Solve for x
    x = 118,286,125,256.25/166,056
  6. Step 6: Final answer
    x = 712,326.72

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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.