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Finding the Third Proportional to 228,316 and 364,614

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Solution

The third proportional to 228,316 and 364,614 is: 582,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,316 : 364,614 = 364,614 : x
  2. Step 2: Convert to fraction form
    228,316/364,614 = 364,614/x
  3. Step 3: Cross multiply
    228,316x = 364,614 × 364,614
  4. Step 4: Simplify right side
    228,316x = 132,943,368,996
  5. Step 5: Solve for x
    x = 132,943,368,996/228,316
  6. Step 6: Final answer
    x = 582,277.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.