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Finding the Third Proportional to 156,735 and 242,164.50

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Solution

The third proportional to 156,735 and 242,164.50 is: 374,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,735 : 242,164.50 = 242,164.50 : x
  2. Step 2: Convert to fraction form
    156,735/242,164.50 = 242,164.50/x
  3. Step 3: Cross multiply
    156,735x = 242,164.50 × 242,164.50
  4. Step 4: Simplify right side
    156,735x = 58,643,645,060.25
  5. Step 5: Solve for x
    x = 58,643,645,060.25/156,735
  6. Step 6: Final answer
    x = 374,157.94

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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.