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Finding the Third Proportional to 158,004 and 342,603

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Solution

The third proportional to 158,004 and 342,603 is: 742,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,004 : 342,603 = 342,603 : x
  2. Step 2: Convert to fraction form
    158,004/342,603 = 342,603/x
  3. Step 3: Cross multiply
    158,004x = 342,603 × 342,603
  4. Step 4: Simplify right side
    158,004x = 117,376,815,609
  5. Step 5: Solve for x
    x = 117,376,815,609/158,004
  6. Step 6: Final answer
    x = 742,872.43

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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.