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Finding the Third Proportional to 229,742 and 335,702

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Solution

The third proportional to 229,742 and 335,702 is: 490,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,742 : 335,702 = 335,702 : x
  2. Step 2: Convert to fraction form
    229,742/335,702 = 335,702/x
  3. Step 3: Cross multiply
    229,742x = 335,702 × 335,702
  4. Step 4: Simplify right side
    229,742x = 112,695,832,804
  5. Step 5: Solve for x
    x = 112,695,832,804/229,742
  6. Step 6: Final answer
    x = 490,532.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.