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Finding the Third Proportional to 119,324.25 and 257,319

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Solution

The third proportional to 119,324.25 and 257,319 is: 554,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,324.25 : 257,319 = 257,319 : x
  2. Step 2: Convert to fraction form
    119,324.25/257,319 = 257,319/x
  3. Step 3: Cross multiply
    119,324.25x = 257,319 × 257,319
  4. Step 4: Simplify right side
    119,324.25x = 66,213,067,761
  5. Step 5: Solve for x
    x = 66,213,067,761/119,324.25
  6. Step 6: Final answer
    x = 554,900.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.