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Finding the Third Proportional to 223,088 and 335,127

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Solution

The third proportional to 223,088 and 335,127 is: 503,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,088 : 335,127 = 335,127 : x
  2. Step 2: Convert to fraction form
    223,088/335,127 = 335,127/x
  3. Step 3: Cross multiply
    223,088x = 335,127 × 335,127
  4. Step 4: Simplify right side
    223,088x = 112,310,106,129
  5. Step 5: Solve for x
    x = 112,310,106,129/223,088
  6. Step 6: Final answer
    x = 503,434.10

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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.