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Finding the Third Proportional to 144,705 and 310,176

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Solution

The third proportional to 144,705 and 310,176 is: 664,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,705 : 310,176 = 310,176 : x
  2. Step 2: Convert to fraction form
    144,705/310,176 = 310,176/x
  3. Step 3: Cross multiply
    144,705x = 310,176 × 310,176
  4. Step 4: Simplify right side
    144,705x = 96,209,150,976
  5. Step 5: Solve for x
    x = 96,209,150,976/144,705
  6. Step 6: Final answer
    x = 664,864.04

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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.