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Finding the Third Proportional to 215,032 and 341,555.75

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Solution

The third proportional to 215,032 and 341,555.75 is: 542,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,032 : 341,555.75 = 341,555.75 : x
  2. Step 2: Convert to fraction form
    215,032/341,555.75 = 341,555.75/x
  3. Step 3: Cross multiply
    215,032x = 341,555.75 × 341,555.75
  4. Step 4: Simplify right side
    215,032x = 116,660,330,358.06
  5. Step 5: Solve for x
    x = 116,660,330,358.06/215,032
  6. Step 6: Final answer
    x = 542,525.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.