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Finding the Third Proportional to 164,226 and 355,438.50

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Solution

The third proportional to 164,226 and 355,438.50 is: 769,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,226 : 355,438.50 = 355,438.50 : x
  2. Step 2: Convert to fraction form
    164,226/355,438.50 = 355,438.50/x
  3. Step 3: Cross multiply
    164,226x = 355,438.50 × 355,438.50
  4. Step 4: Simplify right side
    164,226x = 126,336,527,282.25
  5. Step 5: Solve for x
    x = 126,336,527,282.25/164,226
  6. Step 6: Final answer
    x = 769,284.57

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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.