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Finding the Third Proportional to 169,938.84 and 238,220.16

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Solution

The third proportional to 169,938.84 and 238,220.16 is: 333,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,938.84 : 238,220.16 = 238,220.16 : x
  2. Step 2: Convert to fraction form
    169,938.84/238,220.16 = 238,220.16/x
  3. Step 3: Cross multiply
    169,938.84x = 238,220.16 × 238,220.16
  4. Step 4: Simplify right side
    169,938.84x = 56,748,842,843.77
  5. Step 5: Solve for x
    x = 56,748,842,843.77/169,938.84
  6. Step 6: Final answer
    x = 333,936.85

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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.