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Finding the Third Proportional to 169,430.63 and 365,104.13

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Solution

The third proportional to 169,430.63 and 365,104.13 is: 786,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,430.63 : 365,104.13 = 365,104.13 : x
  2. Step 2: Convert to fraction form
    169,430.63/365,104.13 = 365,104.13/x
  3. Step 3: Cross multiply
    169,430.63x = 365,104.13 × 365,104.13
  4. Step 4: Simplify right side
    169,430.63x = 133,301,022,092.02
  5. Step 5: Solve for x
    x = 133,301,022,092.02/169,430.63
  6. Step 6: Final answer
    x = 786,758.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.