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Finding the Third Proportional to 156,769 and 235,506

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Solution

The third proportional to 156,769 and 235,506 is: 353,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,769 : 235,506 = 235,506 : x
  2. Step 2: Convert to fraction form
    156,769/235,506 = 235,506/x
  3. Step 3: Cross multiply
    156,769x = 235,506 × 235,506
  4. Step 4: Simplify right side
    156,769x = 55,463,076,036
  5. Step 5: Solve for x
    x = 55,463,076,036/156,769
  6. Step 6: Final answer
    x = 353,788.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.