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Finding the Third Proportional to 165,294 and 361,386

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Solution

The third proportional to 165,294 and 361,386 is: 790,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,294 : 361,386 = 361,386 : x
  2. Step 2: Convert to fraction form
    165,294/361,386 = 361,386/x
  3. Step 3: Cross multiply
    165,294x = 361,386 × 361,386
  4. Step 4: Simplify right side
    165,294x = 130,599,840,996
  5. Step 5: Solve for x
    x = 130,599,840,996/165,294
  6. Step 6: Final answer
    x = 790,106.36

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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.