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Finding the Third Proportional to 175,038.50 and 356,497

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Solution

The third proportional to 175,038.50 and 356,497 is: 726,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,038.50 : 356,497 = 356,497 : x
  2. Step 2: Convert to fraction form
    175,038.50/356,497 = 356,497/x
  3. Step 3: Cross multiply
    175,038.50x = 356,497 × 356,497
  4. Step 4: Simplify right side
    175,038.50x = 127,090,111,009
  5. Step 5: Solve for x
    x = 127,090,111,009/175,038.50
  6. Step 6: Final answer
    x = 726,069.47

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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.