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Finding the Third Proportional to 165,480 and 262,152

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Solution

The third proportional to 165,480 and 262,152 is: 415,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,480 : 262,152 = 262,152 : x
  2. Step 2: Convert to fraction form
    165,480/262,152 = 262,152/x
  3. Step 3: Cross multiply
    165,480x = 262,152 × 262,152
  4. Step 4: Simplify right side
    165,480x = 68,723,671,104
  5. Step 5: Solve for x
    x = 68,723,671,104/165,480
  6. Step 6: Final answer
    x = 415,298.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.