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Finding the Third Proportional to 243,284.50 and 364,562

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Solution

The third proportional to 243,284.50 and 364,562 is: 546,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,284.50 : 364,562 = 364,562 : x
  2. Step 2: Convert to fraction form
    243,284.50/364,562 = 364,562/x
  3. Step 3: Cross multiply
    243,284.50x = 364,562 × 364,562
  4. Step 4: Simplify right side
    243,284.50x = 132,905,451,844
  5. Step 5: Solve for x
    x = 132,905,451,844/243,284.50
  6. Step 6: Final answer
    x = 546,296.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.