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Finding the Third Proportional to 157,364 and 345,832

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Solution

The third proportional to 157,364 and 345,832 is: 760,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,364 : 345,832 = 345,832 : x
  2. Step 2: Convert to fraction form
    157,364/345,832 = 345,832/x
  3. Step 3: Cross multiply
    157,364x = 345,832 × 345,832
  4. Step 4: Simplify right side
    157,364x = 119,599,772,224
  5. Step 5: Solve for x
    x = 119,599,772,224/157,364
  6. Step 6: Final answer
    x = 760,019.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.