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Finding the Third Proportional to 157,620 and 342,032

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Solution

The third proportional to 157,620 and 342,032 is: 742,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,620 : 342,032 = 342,032 : x
  2. Step 2: Convert to fraction form
    157,620/342,032 = 342,032/x
  3. Step 3: Cross multiply
    157,620x = 342,032 × 342,032
  4. Step 4: Simplify right side
    157,620x = 116,985,889,024
  5. Step 5: Solve for x
    x = 116,985,889,024/157,620
  6. Step 6: Final answer
    x = 742,202.06

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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.