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Finding the Third Proportional to 215,028 and 341,611

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Solution

The third proportional to 215,028 and 341,611 is: 542,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,028 : 341,611 = 341,611 : x
  2. Step 2: Convert to fraction form
    215,028/341,611 = 341,611/x
  3. Step 3: Cross multiply
    215,028x = 341,611 × 341,611
  4. Step 4: Simplify right side
    215,028x = 116,698,075,321
  5. Step 5: Solve for x
    x = 116,698,075,321/215,028
  6. Step 6: Final answer
    x = 542,711.07

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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.