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Finding the Third Proportional to 165,780 and 357,480

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Solution

The third proportional to 165,780 and 357,480 is: 770,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,780 : 357,480 = 357,480 : x
  2. Step 2: Convert to fraction form
    165,780/357,480 = 357,480/x
  3. Step 3: Cross multiply
    165,780x = 357,480 × 357,480
  4. Step 4: Simplify right side
    165,780x = 127,791,950,400
  5. Step 5: Solve for x
    x = 127,791,950,400/165,780
  6. Step 6: Final answer
    x = 770,852.64

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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.