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Finding the Third Proportional to 215,106.75 and 341,643.38

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Solution

The third proportional to 215,106.75 and 341,643.38 is: 542,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,106.75 : 341,643.38 = 341,643.38 : x
  2. Step 2: Convert to fraction form
    215,106.75/341,643.38 = 341,643.38/x
  3. Step 3: Cross multiply
    215,106.75x = 341,643.38 × 341,643.38
  4. Step 4: Simplify right side
    215,106.75x = 116,720,195,681.39
  5. Step 5: Solve for x
    x = 116,720,195,681.39/215,106.75
  6. Step 6: Final answer
    x = 542,615.22

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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.