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Finding the Third Proportional to 156,372.50 and 341,423.50

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Solution

The third proportional to 156,372.50 and 341,423.50 is: 745,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,372.50 : 341,423.50 = 341,423.50 : x
  2. Step 2: Convert to fraction form
    156,372.50/341,423.50 = 341,423.50/x
  3. Step 3: Cross multiply
    156,372.50x = 341,423.50 × 341,423.50
  4. Step 4: Simplify right side
    156,372.50x = 116,570,006,352.25
  5. Step 5: Solve for x
    x = 116,570,006,352.25/156,372.50
  6. Step 6: Final answer
    x = 745,463.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.