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Finding the Third Proportional to 192,152.25 and 292,875.75

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Solution

The third proportional to 192,152.25 and 292,875.75 is: 446,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,152.25 : 292,875.75 = 292,875.75 : x
  2. Step 2: Convert to fraction form
    192,152.25/292,875.75 = 292,875.75/x
  3. Step 3: Cross multiply
    192,152.25x = 292,875.75 × 292,875.75
  4. Step 4: Simplify right side
    192,152.25x = 85,776,204,938.06
  5. Step 5: Solve for x
    x = 85,776,204,938.06/192,152.25
  6. Step 6: Final answer
    x = 446,397.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.