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Finding the Third Proportional to 118,596 and 257,033

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Solution

The third proportional to 118,596 and 257,033 is: 557,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,596 : 257,033 = 257,033 : x
  2. Step 2: Convert to fraction form
    118,596/257,033 = 257,033/x
  3. Step 3: Cross multiply
    118,596x = 257,033 × 257,033
  4. Step 4: Simplify right side
    118,596x = 66,065,963,089
  5. Step 5: Solve for x
    x = 66,065,963,089/118,596
  6. Step 6: Final answer
    x = 557,067.38

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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.