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Finding the Third Proportional to 227,206.50 and 352,798.50

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Solution

The third proportional to 227,206.50 and 352,798.50 is: 547,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,206.50 : 352,798.50 = 352,798.50 : x
  2. Step 2: Convert to fraction form
    227,206.50/352,798.50 = 352,798.50/x
  3. Step 3: Cross multiply
    227,206.50x = 352,798.50 × 352,798.50
  4. Step 4: Simplify right side
    227,206.50x = 124,466,781,602.25
  5. Step 5: Solve for x
    x = 124,466,781,602.25/227,206.50
  6. Step 6: Final answer
    x = 547,813.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.