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Finding the Third Proportional to 151,435.50 and 235,148.25

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Solution

The third proportional to 151,435.50 and 235,148.25 is: 365,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,435.50 : 235,148.25 = 235,148.25 : x
  2. Step 2: Convert to fraction form
    151,435.50/235,148.25 = 235,148.25/x
  3. Step 3: Cross multiply
    151,435.50x = 235,148.25 × 235,148.25
  4. Step 4: Simplify right side
    151,435.50x = 55,294,699,478.06
  5. Step 5: Solve for x
    x = 55,294,699,478.06/151,435.50
  6. Step 6: Final answer
    x = 365,136.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.