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Finding the Third Proportional to 165,886 and 357,692

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Solution

The third proportional to 165,886 and 357,692 is: 771,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,886 : 357,692 = 357,692 : x
  2. Step 2: Convert to fraction form
    165,886/357,692 = 357,692/x
  3. Step 3: Cross multiply
    165,886x = 357,692 × 357,692
  4. Step 4: Simplify right side
    165,886x = 127,943,566,864
  5. Step 5: Solve for x
    x = 127,943,566,864/165,886
  6. Step 6: Final answer
    x = 771,274.05

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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.