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Finding the Third Proportional to 242,856 and 515,308.50

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Solution

The third proportional to 242,856 and 515,308.50 is: 1,093,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,856 : 515,308.50 = 515,308.50 : x
  2. Step 2: Convert to fraction form
    242,856/515,308.50 = 515,308.50/x
  3. Step 3: Cross multiply
    242,856x = 515,308.50 × 515,308.50
  4. Step 4: Simplify right side
    242,856x = 265,542,850,172.25
  5. Step 5: Solve for x
    x = 265,542,850,172.25/242,856
  6. Step 6: Final answer
    x = 1,093,416.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.