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Finding the Third Proportional to 215,025 and 341,607

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Solution

The third proportional to 215,025 and 341,607 is: 542,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,025 : 341,607 = 341,607 : x
  2. Step 2: Convert to fraction form
    215,025/341,607 = 341,607/x
  3. Step 3: Cross multiply
    215,025x = 341,607 × 341,607
  4. Step 4: Simplify right side
    215,025x = 116,695,342,449
  5. Step 5: Solve for x
    x = 116,695,342,449/215,025
  6. Step 6: Final answer
    x = 542,705.93

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