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Finding the Third Proportional to 144,205 and 310,595

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Solution

The third proportional to 144,205 and 310,595 is: 668,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,205 : 310,595 = 310,595 : x
  2. Step 2: Convert to fraction form
    144,205/310,595 = 310,595/x
  3. Step 3: Cross multiply
    144,205x = 310,595 × 310,595
  4. Step 4: Simplify right side
    144,205x = 96,469,254,025
  5. Step 5: Solve for x
    x = 96,469,254,025/144,205
  6. Step 6: Final answer
    x = 668,973.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.