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Finding the Third Proportional to 166,839.75 and 359,926.88

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Solution

The third proportional to 166,839.75 and 359,926.88 is: 776,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,839.75 : 359,926.88 = 359,926.88 : x
  2. Step 2: Convert to fraction form
    166,839.75/359,926.88 = 359,926.88/x
  3. Step 3: Cross multiply
    166,839.75x = 359,926.88 × 359,926.88
  4. Step 4: Simplify right side
    166,839.75x = 129,547,355,347.27
  5. Step 5: Solve for x
    x = 129,547,355,347.27/166,839.75
  6. Step 6: Final answer
    x = 776,477.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.