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Finding the Third Proportional to 144,627.75 and 314,132.63

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Solution

The third proportional to 144,627.75 and 314,132.63 is: 682,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,627.75 : 314,132.63 = 314,132.63 : x
  2. Step 2: Convert to fraction form
    144,627.75/314,132.63 = 314,132.63/x
  3. Step 3: Cross multiply
    144,627.75x = 314,132.63 × 314,132.63
  4. Step 4: Simplify right side
    144,627.75x = 98,679,306,089.39
  5. Step 5: Solve for x
    x = 98,679,306,089.39/144,627.75
  6. Step 6: Final answer
    x = 682,298.56

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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.