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Finding the Third Proportional to 223,127 and 335,178

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Solution

The third proportional to 223,127 and 335,178 is: 503,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,127 : 335,178 = 335,178 : x
  2. Step 2: Convert to fraction form
    223,127/335,178 = 335,178/x
  3. Step 3: Cross multiply
    223,127x = 335,178 × 335,178
  4. Step 4: Simplify right side
    223,127x = 112,344,291,684
  5. Step 5: Solve for x
    x = 112,344,291,684/223,127
  6. Step 6: Final answer
    x = 503,499.32

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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.