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Finding the Third Proportional to 144,405 and 316,710

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Solution

The third proportional to 144,405 and 316,710 is: 694,610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,405 : 316,710 = 316,710 : x
  2. Step 2: Convert to fraction form
    144,405/316,710 = 316,710/x
  3. Step 3: Cross multiply
    144,405x = 316,710 × 316,710
  4. Step 4: Simplify right side
    144,405x = 100,305,224,100
  5. Step 5: Solve for x
    x = 100,305,224,100/144,405
  6. Step 6: Final answer
    x = 694,610.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.