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Finding the Third Proportional to 146,798.58 and 312,824.53

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Solution

The third proportional to 146,798.58 and 312,824.53 is: 666,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,798.58 : 312,824.53 = 312,824.53 : x
  2. Step 2: Convert to fraction form
    146,798.58/312,824.53 = 312,824.53/x
  3. Step 3: Cross multiply
    146,798.58x = 312,824.53 × 312,824.53
  4. Step 4: Simplify right side
    146,798.58x = 97,859,187,351.78
  5. Step 5: Solve for x
    x = 97,859,187,351.78/146,798.58
  6. Step 6: Final answer
    x = 666,622.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.