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Finding the Third Proportional to 117,924 and 255,783

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Solution

The third proportional to 117,924 and 255,783 is: 554,806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,924 : 255,783 = 255,783 : x
  2. Step 2: Convert to fraction form
    117,924/255,783 = 255,783/x
  3. Step 3: Cross multiply
    117,924x = 255,783 × 255,783
  4. Step 4: Simplify right side
    117,924x = 65,424,943,089
  5. Step 5: Solve for x
    x = 65,424,943,089/117,924
  6. Step 6: Final answer
    x = 554,806.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.