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Finding the Third Proportional to 144,870 and 313,858

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Solution

The third proportional to 144,870 and 313,858 is: 679,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,870 : 313,858 = 313,858 : x
  2. Step 2: Convert to fraction form
    144,870/313,858 = 313,858/x
  3. Step 3: Cross multiply
    144,870x = 313,858 × 313,858
  4. Step 4: Simplify right side
    144,870x = 98,506,844,164
  5. Step 5: Solve for x
    x = 98,506,844,164/144,870
  6. Step 6: Final answer
    x = 679,967.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.