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Finding the Third Proportional to 227,859 and 360,340.50

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Solution

The third proportional to 227,859 and 360,340.50 is: 569,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,859 : 360,340.50 = 360,340.50 : x
  2. Step 2: Convert to fraction form
    227,859/360,340.50 = 360,340.50/x
  3. Step 3: Cross multiply
    227,859x = 360,340.50 × 360,340.50
  4. Step 4: Simplify right side
    227,859x = 129,845,275,940.25
  5. Step 5: Solve for x
    x = 129,845,275,940.25/227,859
  6. Step 6: Final answer
    x = 569,849.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.