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Finding the Third Proportional to 175,051.50 and 356,521.50

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Solution

The third proportional to 175,051.50 and 356,521.50 is: 726,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,051.50 : 356,521.50 = 356,521.50 : x
  2. Step 2: Convert to fraction form
    175,051.50/356,521.50 = 356,521.50/x
  3. Step 3: Cross multiply
    175,051.50x = 356,521.50 × 356,521.50
  4. Step 4: Simplify right side
    175,051.50x = 127,107,579,962.25
  5. Step 5: Solve for x
    x = 127,107,579,962.25/175,051.50
  6. Step 6: Final answer
    x = 726,115.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.