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Finding the Third Proportional to 163,640 and 353,032

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Solution

The third proportional to 163,640 and 353,032 is: 761,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,640 : 353,032 = 353,032 : x
  2. Step 2: Convert to fraction form
    163,640/353,032 = 353,032/x
  3. Step 3: Cross multiply
    163,640x = 353,032 × 353,032
  4. Step 4: Simplify right side
    163,640x = 124,631,593,024
  5. Step 5: Solve for x
    x = 124,631,593,024/163,640
  6. Step 6: Final answer
    x = 761,620.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.