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Finding the Third Proportional to 165,213 and 262,590.75

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Solution

The third proportional to 165,213 and 262,590.75 is: 417,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,213 : 262,590.75 = 262,590.75 : x
  2. Step 2: Convert to fraction form
    165,213/262,590.75 = 262,590.75/x
  3. Step 3: Cross multiply
    165,213x = 262,590.75 × 262,590.75
  4. Step 4: Simplify right side
    165,213x = 68,953,901,985.56
  5. Step 5: Solve for x
    x = 68,953,901,985.56/165,213
  6. Step 6: Final answer
    x = 417,363.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.