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Finding the Third Proportional to 145,928.25 and 319,536.56

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Solution

The third proportional to 145,928.25 and 319,536.56 is: 699,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,928.25 : 319,536.56 = 319,536.56 : x
  2. Step 2: Convert to fraction form
    145,928.25/319,536.56 = 319,536.56/x
  3. Step 3: Cross multiply
    145,928.25x = 319,536.56 × 319,536.56
  4. Step 4: Simplify right side
    145,928.25x = 102,103,614,774.32
  5. Step 5: Solve for x
    x = 102,103,614,774.32/145,928.25
  6. Step 6: Final answer
    x = 699,683.68

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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.