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Finding the Third Proportional to 174,628.69 and 266,955.19

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Solution

The third proportional to 174,628.69 and 266,955.19 is: 408,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,628.69 : 266,955.19 = 266,955.19 : x
  2. Step 2: Convert to fraction form
    174,628.69/266,955.19 = 266,955.19/x
  3. Step 3: Cross multiply
    174,628.69x = 266,955.19 × 266,955.19
  4. Step 4: Simplify right side
    174,628.69x = 71,265,072,133.16
  5. Step 5: Solve for x
    x = 71,265,072,133.16/174,628.69
  6. Step 6: Final answer
    x = 408,094.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.