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Finding the Third Proportional to 151,660 and 237,888

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Solution

The third proportional to 151,660 and 237,888 is: 373,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,660 : 237,888 = 237,888 : x
  2. Step 2: Convert to fraction form
    151,660/237,888 = 237,888/x
  3. Step 3: Cross multiply
    151,660x = 237,888 × 237,888
  4. Step 4: Simplify right side
    151,660x = 56,590,700,544
  5. Step 5: Solve for x
    x = 56,590,700,544/151,660
  6. Step 6: Final answer
    x = 373,141.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.