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Finding the Third Proportional to 151,445.25 and 233,485.50

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Solution

The third proportional to 151,445.25 and 233,485.50 is: 359,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,445.25 : 233,485.50 = 233,485.50 : x
  2. Step 2: Convert to fraction form
    151,445.25/233,485.50 = 233,485.50/x
  3. Step 3: Cross multiply
    151,445.25x = 233,485.50 × 233,485.50
  4. Step 4: Simplify right side
    151,445.25x = 54,515,478,710.25
  5. Step 5: Solve for x
    x = 54,515,478,710.25/151,445.25
  6. Step 6: Final answer
    x = 359,968.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.