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Finding the Third Proportional to 157,519 and 237,407

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Solution

The third proportional to 157,519 and 237,407 is: 357,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,519 : 237,407 = 237,407 : x
  2. Step 2: Convert to fraction form
    157,519/237,407 = 237,407/x
  3. Step 3: Cross multiply
    157,519x = 237,407 × 237,407
  4. Step 4: Simplify right side
    157,519x = 56,362,083,649
  5. Step 5: Solve for x
    x = 56,362,083,649/157,519
  6. Step 6: Final answer
    x = 357,811.33

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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.