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Finding the Third Proportional to 227,658 and 334,106

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Solution

The third proportional to 227,658 and 334,106 is: 490,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,658 : 334,106 = 334,106 : x
  2. Step 2: Convert to fraction form
    227,658/334,106 = 334,106/x
  3. Step 3: Cross multiply
    227,658x = 334,106 × 334,106
  4. Step 4: Simplify right side
    227,658x = 111,626,819,236
  5. Step 5: Solve for x
    x = 111,626,819,236/227,658
  6. Step 6: Final answer
    x = 490,326.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.