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Finding the Third Proportional to 154,730.25 and 235,256.27

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Solution

The third proportional to 154,730.25 and 235,256.27 is: 357,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,730.25 : 235,256.27 = 235,256.27 : x
  2. Step 2: Convert to fraction form
    154,730.25/235,256.27 = 235,256.27/x
  3. Step 3: Cross multiply
    154,730.25x = 235,256.27 × 235,256.27
  4. Step 4: Simplify right side
    154,730.25x = 55,345,514,191.70
  5. Step 5: Solve for x
    x = 55,345,514,191.70/154,730.25
  6. Step 6: Final answer
    x = 357,690.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.