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Finding the Third Proportional to 165,748 and 362,844

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Solution

The third proportional to 165,748 and 362,844 is: 794,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,748 : 362,844 = 362,844 : x
  2. Step 2: Convert to fraction form
    165,748/362,844 = 362,844/x
  3. Step 3: Cross multiply
    165,748x = 362,844 × 362,844
  4. Step 4: Simplify right side
    165,748x = 131,655,768,336
  5. Step 5: Solve for x
    x = 131,655,768,336/165,748
  6. Step 6: Final answer
    x = 794,312.86

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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.