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Finding the Third Proportional to 165,805.31 and 358,083.28

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Solution

The third proportional to 165,805.31 and 358,083.28 is: 773,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,805.31 : 358,083.28 = 358,083.28 : x
  2. Step 2: Convert to fraction form
    165,805.31/358,083.28 = 358,083.28/x
  3. Step 3: Cross multiply
    165,805.31x = 358,083.28 × 358,083.28
  4. Step 4: Simplify right side
    165,805.31x = 128,223,636,310.77
  5. Step 5: Solve for x
    x = 128,223,636,310.77/165,805.31
  6. Step 6: Final answer
    x = 773,338.53

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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.