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Finding the Third Proportional to 164,062.13 and 234,613.13

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Solution

The third proportional to 164,062.13 and 234,613.13 is: 335,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,062.13 : 234,613.13 = 234,613.13 : x
  2. Step 2: Convert to fraction form
    164,062.13/234,613.13 = 234,613.13/x
  3. Step 3: Cross multiply
    164,062.13x = 234,613.13 × 234,613.13
  4. Step 4: Simplify right side
    164,062.13x = 55,043,318,422.27
  5. Step 5: Solve for x
    x = 55,043,318,422.27/164,062.13
  6. Step 6: Final answer
    x = 335,502.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.