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Finding the Third Proportional to 156,445.50 and 185,970

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Solution

The third proportional to 156,445.50 and 185,970 is: 221,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,445.50 : 185,970 = 185,970 : x
  2. Step 2: Convert to fraction form
    156,445.50/185,970 = 185,970/x
  3. Step 3: Cross multiply
    156,445.50x = 185,970 × 185,970
  4. Step 4: Simplify right side
    156,445.50x = 34,584,840,900
  5. Step 5: Solve for x
    x = 34,584,840,900/156,445.50
  6. Step 6: Final answer
    x = 221,066.38

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.