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Finding the Third Proportional to 157,914 and 242,709.75

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Solution

The third proportional to 157,914 and 242,709.75 is: 373,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,914 : 242,709.75 = 242,709.75 : x
  2. Step 2: Convert to fraction form
    157,914/242,709.75 = 242,709.75/x
  3. Step 3: Cross multiply
    157,914x = 242,709.75 × 242,709.75
  4. Step 4: Simplify right side
    157,914x = 58,908,022,745.06
  5. Step 5: Solve for x
    x = 58,908,022,745.06/157,914
  6. Step 6: Final answer
    x = 373,038.63

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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.