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Finding the Third Proportional to 165,798 and 357,804

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Solution

The third proportional to 165,798 and 357,804 is: 772,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,798 : 357,804 = 357,804 : x
  2. Step 2: Convert to fraction form
    165,798/357,804 = 357,804/x
  3. Step 3: Cross multiply
    165,798x = 357,804 × 357,804
  4. Step 4: Simplify right side
    165,798x = 128,023,702,416
  5. Step 5: Solve for x
    x = 128,023,702,416/165,798
  6. Step 6: Final answer
    x = 772,166.75

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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.