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Finding the Third Proportional to 223,090 and 335,130

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Solution

The third proportional to 223,090 and 335,130 is: 503,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,090 : 335,130 = 335,130 : x
  2. Step 2: Convert to fraction form
    223,090/335,130 = 335,130/x
  3. Step 3: Cross multiply
    223,090x = 335,130 × 335,130
  4. Step 4: Simplify right side
    223,090x = 112,312,116,900
  5. Step 5: Solve for x
    x = 112,312,116,900/223,090
  6. Step 6: Final answer
    x = 503,438.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.