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Finding the Third Proportional to 229,430.81 and 322,515.42

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Solution

The third proportional to 229,430.81 and 322,515.42 is: 453,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,430.81 : 322,515.42 = 322,515.42 : x
  2. Step 2: Convert to fraction form
    229,430.81/322,515.42 = 322,515.42/x
  3. Step 3: Cross multiply
    229,430.81x = 322,515.42 × 322,515.42
  4. Step 4: Simplify right side
    229,430.81x = 104,016,197,347.21
  5. Step 5: Solve for x
    x = 104,016,197,347.21/229,430.81
  6. Step 6: Final answer
    x = 453,366.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.