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Finding the Third Proportional to 157,055 and 343,445

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Solution

The third proportional to 157,055 and 343,445 is: 751,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,055 : 343,445 = 343,445 : x
  2. Step 2: Convert to fraction form
    157,055/343,445 = 343,445/x
  3. Step 3: Cross multiply
    157,055x = 343,445 × 343,445
  4. Step 4: Simplify right side
    157,055x = 117,954,468,025
  5. Step 5: Solve for x
    x = 117,954,468,025/157,055
  6. Step 6: Final answer
    x = 751,039.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.