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Finding the Third Proportional to 221,316 and 341,738

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Solution

The third proportional to 221,316 and 341,738 is: 527,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,316 : 341,738 = 341,738 : x
  2. Step 2: Convert to fraction form
    221,316/341,738 = 341,738/x
  3. Step 3: Cross multiply
    221,316x = 341,738 × 341,738
  4. Step 4: Simplify right side
    221,316x = 116,784,860,644
  5. Step 5: Solve for x
    x = 116,784,860,644/221,316
  6. Step 6: Final answer
    x = 527,683.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.