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Finding the Third Proportional to 156,558 and 348,973.50

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Solution

The third proportional to 156,558 and 348,973.50 is: 777,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,558 : 348,973.50 = 348,973.50 : x
  2. Step 2: Convert to fraction form
    156,558/348,973.50 = 348,973.50/x
  3. Step 3: Cross multiply
    156,558x = 348,973.50 × 348,973.50
  4. Step 4: Simplify right side
    156,558x = 121,782,503,702.25
  5. Step 5: Solve for x
    x = 121,782,503,702.25/156,558
  6. Step 6: Final answer
    x = 777,874.68

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.