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Finding the Third Proportional to 169,242 and 364,930.50

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Solution

The third proportional to 169,242 and 364,930.50 is: 786,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,242 : 364,930.50 = 364,930.50 : x
  2. Step 2: Convert to fraction form
    169,242/364,930.50 = 364,930.50/x
  3. Step 3: Cross multiply
    169,242x = 364,930.50 × 364,930.50
  4. Step 4: Simplify right side
    169,242x = 133,174,269,830.25
  5. Step 5: Solve for x
    x = 133,174,269,830.25/169,242
  6. Step 6: Final answer
    x = 786,886.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.