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Finding the Third Proportional to 172,903.50 and 377,275.50

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Solution

The third proportional to 172,903.50 and 377,275.50 is: 823,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,903.50 : 377,275.50 = 377,275.50 : x
  2. Step 2: Convert to fraction form
    172,903.50/377,275.50 = 377,275.50/x
  3. Step 3: Cross multiply
    172,903.50x = 377,275.50 × 377,275.50
  4. Step 4: Simplify right side
    172,903.50x = 142,336,802,900.25
  5. Step 5: Solve for x
    x = 142,336,802,900.25/172,903.50
  6. Step 6: Final answer
    x = 823,215.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.