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Finding the Third Proportional to 157,996 and 350,984

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Solution

The third proportional to 157,996 and 350,984 is: 779,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,996 : 350,984 = 350,984 : x
  2. Step 2: Convert to fraction form
    157,996/350,984 = 350,984/x
  3. Step 3: Cross multiply
    157,996x = 350,984 × 350,984
  4. Step 4: Simplify right side
    157,996x = 123,189,768,256
  5. Step 5: Solve for x
    x = 123,189,768,256/157,996
  6. Step 6: Final answer
    x = 779,701.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.