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Finding the Third Proportional to 165,443 and 358,878

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Solution

The third proportional to 165,443 and 358,878 is: 778,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,443 : 358,878 = 358,878 : x
  2. Step 2: Convert to fraction form
    165,443/358,878 = 358,878/x
  3. Step 3: Cross multiply
    165,443x = 358,878 × 358,878
  4. Step 4: Simplify right side
    165,443x = 128,793,418,884
  5. Step 5: Solve for x
    x = 128,793,418,884/165,443
  6. Step 6: Final answer
    x = 778,476.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.