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Finding the Third Proportional to 158,065 and 342,362

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Solution

The third proportional to 158,065 and 342,362 is: 741,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,065 : 342,362 = 342,362 : x
  2. Step 2: Convert to fraction form
    158,065/342,362 = 342,362/x
  3. Step 3: Cross multiply
    158,065x = 342,362 × 342,362
  4. Step 4: Simplify right side
    158,065x = 117,211,739,044
  5. Step 5: Solve for x
    x = 117,211,739,044/158,065
  6. Step 6: Final answer
    x = 741,541.39

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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.