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Finding the Third Proportional to 119,007.75 and 257,607

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Solution

The third proportional to 119,007.75 and 257,607 is: 557,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,007.75 : 257,607 = 257,607 : x
  2. Step 2: Convert to fraction form
    119,007.75/257,607 = 257,607/x
  3. Step 3: Cross multiply
    119,007.75x = 257,607 × 257,607
  4. Step 4: Simplify right side
    119,007.75x = 66,361,366,449
  5. Step 5: Solve for x
    x = 66,361,366,449/119,007.75
  6. Step 6: Final answer
    x = 557,622.23

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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.