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Finding the Third Proportional to 72,357 and 156,409.50

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Solution

The third proportional to 72,357 and 156,409.50 is: 338,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,357 : 156,409.50 = 156,409.50 : x
  2. Step 2: Convert to fraction form
    72,357/156,409.50 = 156,409.50/x
  3. Step 3: Cross multiply
    72,357x = 156,409.50 × 156,409.50
  4. Step 4: Simplify right side
    72,357x = 24,463,931,690.25
  5. Step 5: Solve for x
    x = 24,463,931,690.25/72,357
  6. Step 6: Final answer
    x = 338,100.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.