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Finding the Third Proportional to 144,810 and 309,870

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Solution

The third proportional to 144,810 and 309,870 is: 663,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,810 : 309,870 = 309,870 : x
  2. Step 2: Convert to fraction form
    144,810/309,870 = 309,870/x
  3. Step 3: Cross multiply
    144,810x = 309,870 × 309,870
  4. Step 4: Simplify right side
    144,810x = 96,019,416,900
  5. Step 5: Solve for x
    x = 96,019,416,900/144,810
  6. Step 6: Final answer
    x = 663,071.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.