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Finding the Third Proportional to 145,502 and 219,550

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Solution

The third proportional to 145,502 and 219,550 is: 331,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,502 : 219,550 = 219,550 : x
  2. Step 2: Convert to fraction form
    145,502/219,550 = 219,550/x
  3. Step 3: Cross multiply
    145,502x = 219,550 × 219,550
  4. Step 4: Simplify right side
    145,502x = 48,202,202,500
  5. Step 5: Solve for x
    x = 48,202,202,500/145,502
  6. Step 6: Final answer
    x = 331,282.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.