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Finding the Third Proportional to 151,480.50 and 230,368.31

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Solution

The third proportional to 151,480.50 and 230,368.31 is: 350,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,480.50 : 230,368.31 = 230,368.31 : x
  2. Step 2: Convert to fraction form
    151,480.50/230,368.31 = 230,368.31/x
  3. Step 3: Cross multiply
    151,480.50x = 230,368.31 × 230,368.31
  4. Step 4: Simplify right side
    151,480.50x = 53,069,559,404.10
  5. Step 5: Solve for x
    x = 53,069,559,404.10/151,480.50
  6. Step 6: Final answer
    x = 350,339.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.