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Finding the Third Proportional to 251,654 and 367,101

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Solution

The third proportional to 251,654 and 367,101 is: 535,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,654 : 367,101 = 367,101 : x
  2. Step 2: Convert to fraction form
    251,654/367,101 = 367,101/x
  3. Step 3: Cross multiply
    251,654x = 367,101 × 367,101
  4. Step 4: Simplify right side
    251,654x = 134,763,144,201
  5. Step 5: Solve for x
    x = 134,763,144,201/251,654
  6. Step 6: Final answer
    x = 535,509.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.