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Finding the Third Proportional to 164,416 and 359,268

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Solution

The third proportional to 164,416 and 359,268 is: 785,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,416 : 359,268 = 359,268 : x
  2. Step 2: Convert to fraction form
    164,416/359,268 = 359,268/x
  3. Step 3: Cross multiply
    164,416x = 359,268 × 359,268
  4. Step 4: Simplify right side
    164,416x = 129,073,495,824
  5. Step 5: Solve for x
    x = 129,073,495,824/164,416
  6. Step 6: Final answer
    x = 785,042.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.