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Finding the Third Proportional to 120,057 and 257,904

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Solution

The third proportional to 120,057 and 257,904 is: 554,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,057 : 257,904 = 257,904 : x
  2. Step 2: Convert to fraction form
    120,057/257,904 = 257,904/x
  3. Step 3: Cross multiply
    120,057x = 257,904 × 257,904
  4. Step 4: Simplify right side
    120,057x = 66,514,473,216
  5. Step 5: Solve for x
    x = 66,514,473,216/120,057
  6. Step 6: Final answer
    x = 554,024.12

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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.