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Finding the Third Proportional to 157,348.69 and 237,329.44

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Solution

The third proportional to 157,348.69 and 237,329.44 is: 357,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,348.69 : 237,329.44 = 237,329.44 : x
  2. Step 2: Convert to fraction form
    157,348.69/237,329.44 = 237,329.44/x
  3. Step 3: Cross multiply
    157,348.69x = 237,329.44 × 237,329.44
  4. Step 4: Simplify right side
    157,348.69x = 56,325,261,904.07
  5. Step 5: Solve for x
    x = 56,325,261,904.07/157,348.69
  6. Step 6: Final answer
    x = 357,964.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.