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Finding the Third Proportional to 144,918 and 309,095

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Solution

The third proportional to 144,918 and 309,095 is: 659,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,918 : 309,095 = 309,095 : x
  2. Step 2: Convert to fraction form
    144,918/309,095 = 309,095/x
  3. Step 3: Cross multiply
    144,918x = 309,095 × 309,095
  4. Step 4: Simplify right side
    144,918x = 95,539,719,025
  5. Step 5: Solve for x
    x = 95,539,719,025/144,918
  6. Step 6: Final answer
    x = 659,267.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.