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Finding the Third Proportional to 165,128 and 353,582

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Solution

The third proportional to 165,128 and 353,582 is: 757,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,128 : 353,582 = 353,582 : x
  2. Step 2: Convert to fraction form
    165,128/353,582 = 353,582/x
  3. Step 3: Cross multiply
    165,128x = 353,582 × 353,582
  4. Step 4: Simplify right side
    165,128x = 125,020,230,724
  5. Step 5: Solve for x
    x = 125,020,230,724/165,128
  6. Step 6: Final answer
    x = 757,111.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.