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Finding the Third Proportional to 175,059.50 and 356,537

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Solution

The third proportional to 175,059.50 and 356,537 is: 726,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,059.50 : 356,537 = 356,537 : x
  2. Step 2: Convert to fraction form
    175,059.50/356,537 = 356,537/x
  3. Step 3: Cross multiply
    175,059.50x = 356,537 × 356,537
  4. Step 4: Simplify right side
    175,059.50x = 127,118,632,369
  5. Step 5: Solve for x
    x = 127,118,632,369/175,059.50
  6. Step 6: Final answer
    x = 726,145.30

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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.