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Finding the Third Proportional to 145,132 and 219,887

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Solution

The third proportional to 145,132 and 219,887 is: 333,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,132 : 219,887 = 219,887 : x
  2. Step 2: Convert to fraction form
    145,132/219,887 = 219,887/x
  3. Step 3: Cross multiply
    145,132x = 219,887 × 219,887
  4. Step 4: Simplify right side
    145,132x = 48,350,292,769
  5. Step 5: Solve for x
    x = 48,350,292,769/145,132
  6. Step 6: Final answer
    x = 333,147.02

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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.