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Finding the Third Proportional to 238,181.63 and 510,899.63

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Solution

The third proportional to 238,181.63 and 510,899.63 is: 1,095,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,181.63 : 510,899.63 = 510,899.63 : x
  2. Step 2: Convert to fraction form
    238,181.63/510,899.63 = 510,899.63/x
  3. Step 3: Cross multiply
    238,181.63x = 510,899.63 × 510,899.63
  4. Step 4: Simplify right side
    238,181.63x = 261,018,426,825.14
  5. Step 5: Solve for x
    x = 261,018,426,825.14/238,181.63
  6. Step 6: Final answer
    x = 1,095,879.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.