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Finding the Third Proportional to 151,963.31 and 330,683.06

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Solution

The third proportional to 151,963.31 and 330,683.06 is: 719,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,963.31 : 330,683.06 = 330,683.06 : x
  2. Step 2: Convert to fraction form
    151,963.31/330,683.06 = 330,683.06/x
  3. Step 3: Cross multiply
    151,963.31x = 330,683.06 × 330,683.06
  4. Step 4: Simplify right side
    151,963.31x = 109,351,287,824.38
  5. Step 5: Solve for x
    x = 109,351,287,824.38/151,963.31
  6. Step 6: Final answer
    x = 719,590.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.