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Finding the Third Proportional to 100,904 and 156,230.50

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Solution

The third proportional to 100,904 and 156,230.50 is: 241,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,904 : 156,230.50 = 156,230.50 : x
  2. Step 2: Convert to fraction form
    100,904/156,230.50 = 156,230.50/x
  3. Step 3: Cross multiply
    100,904x = 156,230.50 × 156,230.50
  4. Step 4: Simplify right side
    100,904x = 24,407,969,130.25
  5. Step 5: Solve for x
    x = 24,407,969,130.25/100,904
  6. Step 6: Final answer
    x = 241,892.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.