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Finding the Third Proportional to 165,884 and 357,688

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Solution

The third proportional to 165,884 and 357,688 is: 771,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,884 : 357,688 = 357,688 : x
  2. Step 2: Convert to fraction form
    165,884/357,688 = 357,688/x
  3. Step 3: Cross multiply
    165,884x = 357,688 × 357,688
  4. Step 4: Simplify right side
    165,884x = 127,940,705,344
  5. Step 5: Solve for x
    x = 127,940,705,344/165,884
  6. Step 6: Final answer
    x = 771,266.10

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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.