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Finding the Third Proportional to 157,040 and 242,616

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Solution

The third proportional to 157,040 and 242,616 is: 374,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,040 : 242,616 = 242,616 : x
  2. Step 2: Convert to fraction form
    157,040/242,616 = 242,616/x
  3. Step 3: Cross multiply
    157,040x = 242,616 × 242,616
  4. Step 4: Simplify right side
    157,040x = 58,862,523,456
  5. Step 5: Solve for x
    x = 58,862,523,456/157,040
  6. Step 6: Final answer
    x = 374,825.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.