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Finding the Third Proportional to 119,014 and 257,617

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Solution

The third proportional to 119,014 and 257,617 is: 557,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,014 : 257,617 = 257,617 : x
  2. Step 2: Convert to fraction form
    119,014/257,617 = 257,617/x
  3. Step 3: Cross multiply
    119,014x = 257,617 × 257,617
  4. Step 4: Simplify right side
    119,014x = 66,366,518,689
  5. Step 5: Solve for x
    x = 66,366,518,689/119,014
  6. Step 6: Final answer
    x = 557,636.23

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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.