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Finding the Third Proportional to 157,222 and 341,024

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Solution

The third proportional to 157,222 and 341,024 is: 739,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,222 : 341,024 = 341,024 : x
  2. Step 2: Convert to fraction form
    157,222/341,024 = 341,024/x
  3. Step 3: Cross multiply
    157,222x = 341,024 × 341,024
  4. Step 4: Simplify right side
    157,222x = 116,297,368,576
  5. Step 5: Solve for x
    x = 116,297,368,576/157,222
  6. Step 6: Final answer
    x = 739,701.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.