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Finding the Third Proportional to 144,968 and 307,360

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Solution

The third proportional to 144,968 and 307,360 is: 651,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,968 : 307,360 = 307,360 : x
  2. Step 2: Convert to fraction form
    144,968/307,360 = 307,360/x
  3. Step 3: Cross multiply
    144,968x = 307,360 × 307,360
  4. Step 4: Simplify right side
    144,968x = 94,470,169,600
  5. Step 5: Solve for x
    x = 94,470,169,600/144,968
  6. Step 6: Final answer
    x = 651,662.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.