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Finding the Third Proportional to 142,653 and 220,773.50

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Solution

The third proportional to 142,653 and 220,773.50 is: 341,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,653 : 220,773.50 = 220,773.50 : x
  2. Step 2: Convert to fraction form
    142,653/220,773.50 = 220,773.50/x
  3. Step 3: Cross multiply
    142,653x = 220,773.50 × 220,773.50
  4. Step 4: Simplify right side
    142,653x = 48,740,938,302.25
  5. Step 5: Solve for x
    x = 48,740,938,302.25/142,653
  6. Step 6: Final answer
    x = 341,674.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.