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Finding the Third Proportional to 148,090 and 235,255.50

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Solution

The third proportional to 148,090 and 235,255.50 is: 373,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,090 : 235,255.50 = 235,255.50 : x
  2. Step 2: Convert to fraction form
    148,090/235,255.50 = 235,255.50/x
  3. Step 3: Cross multiply
    148,090x = 235,255.50 × 235,255.50
  4. Step 4: Simplify right side
    148,090x = 55,345,150,280.25
  5. Step 5: Solve for x
    x = 55,345,150,280.25/148,090
  6. Step 6: Final answer
    x = 373,726.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.