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Finding the Third Proportional to 142,956.98 and 308,056.50

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Solution

The third proportional to 142,956.98 and 308,056.50 is: 663,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,956.98 : 308,056.50 = 308,056.50 : x
  2. Step 2: Convert to fraction form
    142,956.98/308,056.50 = 308,056.50/x
  3. Step 3: Cross multiply
    142,956.98x = 308,056.50 × 308,056.50
  4. Step 4: Simplify right side
    142,956.98x = 94,898,807,192.25
  5. Step 5: Solve for x
    x = 94,898,807,192.25/142,956.98
  6. Step 6: Final answer
    x = 663,827.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.