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Finding the Third Proportional to 146,061.56 and 314,600.63

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Solution

The third proportional to 146,061.56 and 314,600.63 is: 677,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,061.56 : 314,600.63 = 314,600.63 : x
  2. Step 2: Convert to fraction form
    146,061.56/314,600.63 = 314,600.63/x
  3. Step 3: Cross multiply
    146,061.56x = 314,600.63 × 314,600.63
  4. Step 4: Simplify right side
    146,061.56x = 98,973,553,250.39
  5. Step 5: Solve for x
    x = 98,973,553,250.39/146,061.56
  6. Step 6: Final answer
    x = 677,615.33

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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.