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Finding the Third Proportional to 164,358 and 353,682

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Solution

The third proportional to 164,358 and 353,682 is: 761,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,358 : 353,682 = 353,682 : x
  2. Step 2: Convert to fraction form
    164,358/353,682 = 353,682/x
  3. Step 3: Cross multiply
    164,358x = 353,682 × 353,682
  4. Step 4: Simplify right side
    164,358x = 125,090,957,124
  5. Step 5: Solve for x
    x = 125,090,957,124/164,358
  6. Step 6: Final answer
    x = 761,088.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.