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Finding the Third Proportional to 223,288.50 and 292,029

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Solution

The third proportional to 223,288.50 and 292,029 is: 381,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,288.50 : 292,029 = 292,029 : x
  2. Step 2: Convert to fraction form
    223,288.50/292,029 = 292,029/x
  3. Step 3: Cross multiply
    223,288.50x = 292,029 × 292,029
  4. Step 4: Simplify right side
    223,288.50x = 85,280,936,841
  5. Step 5: Solve for x
    x = 85,280,936,841/223,288.50
  6. Step 6: Final answer
    x = 381,931.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.