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Finding the Third Proportional to 292,135.50 and 441,362.25

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Solution

The third proportional to 292,135.50 and 441,362.25 is: 666,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,135.50 : 441,362.25 = 441,362.25 : x
  2. Step 2: Convert to fraction form
    292,135.50/441,362.25 = 441,362.25/x
  3. Step 3: Cross multiply
    292,135.50x = 441,362.25 × 441,362.25
  4. Step 4: Simplify right side
    292,135.50x = 194,800,635,725.06
  5. Step 5: Solve for x
    x = 194,800,635,725.06/292,135.50
  6. Step 6: Final answer
    x = 666,816.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.