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Finding the Third Proportional to 174,312 and 245,467

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Solution

The third proportional to 174,312 and 245,467 is: 345,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,312 : 245,467 = 245,467 : x
  2. Step 2: Convert to fraction form
    174,312/245,467 = 245,467/x
  3. Step 3: Cross multiply
    174,312x = 245,467 × 245,467
  4. Step 4: Simplify right side
    174,312x = 60,254,048,089
  5. Step 5: Solve for x
    x = 60,254,048,089/174,312
  6. Step 6: Final answer
    x = 345,667.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.