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Finding the Third Proportional to 157,794 and 345,072

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Solution

The third proportional to 157,794 and 345,072 is: 754,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,794 : 345,072 = 345,072 : x
  2. Step 2: Convert to fraction form
    157,794/345,072 = 345,072/x
  3. Step 3: Cross multiply
    157,794x = 345,072 × 345,072
  4. Step 4: Simplify right side
    157,794x = 119,074,685,184
  5. Step 5: Solve for x
    x = 119,074,685,184/157,794
  6. Step 6: Final answer
    x = 754,621.12

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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.