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Finding the Third Proportional to 223,282.50 and 292,020

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Solution

The third proportional to 223,282.50 and 292,020 is: 381,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,282.50 : 292,020 = 292,020 : x
  2. Step 2: Convert to fraction form
    223,282.50/292,020 = 292,020/x
  3. Step 3: Cross multiply
    223,282.50x = 292,020 × 292,020
  4. Step 4: Simplify right side
    223,282.50x = 85,275,680,400
  5. Step 5: Solve for x
    x = 85,275,680,400/223,282.50
  6. Step 6: Final answer
    x = 381,918.33

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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.