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Finding the Third Proportional to 157,900.88 and 242,707.69

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Solution

The third proportional to 157,900.88 and 242,707.69 is: 373,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,900.88 : 242,707.69 = 242,707.69 : x
  2. Step 2: Convert to fraction form
    157,900.88/242,707.69 = 242,707.69/x
  3. Step 3: Cross multiply
    157,900.88x = 242,707.69 × 242,707.69
  4. Step 4: Simplify right side
    157,900.88x = 58,907,021,571.60
  5. Step 5: Solve for x
    x = 58,907,021,571.60/157,900.88
  6. Step 6: Final answer
    x = 373,063.30

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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.