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Finding the Third Proportional to 156,782 and 370,043

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Solution

The third proportional to 156,782 and 370,043 is: 873,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782 : 370,043 = 370,043 : x
  2. Step 2: Convert to fraction form
    156,782/370,043 = 370,043/x
  3. Step 3: Cross multiply
    156,782x = 370,043 × 370,043
  4. Step 4: Simplify right side
    156,782x = 136,931,821,849
  5. Step 5: Solve for x
    x = 136,931,821,849/156,782
  6. Step 6: Final answer
    x = 873,389.94

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.