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Finding the Third Proportional to 239,088 and 335,076

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Solution

The third proportional to 239,088 and 335,076 is: 469,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,088 : 335,076 = 335,076 : x
  2. Step 2: Convert to fraction form
    239,088/335,076 = 335,076/x
  3. Step 3: Cross multiply
    239,088x = 335,076 × 335,076
  4. Step 4: Simplify right side
    239,088x = 112,275,925,776
  5. Step 5: Solve for x
    x = 112,275,925,776/239,088
  6. Step 6: Final answer
    x = 469,600.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.