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Finding the Third Proportional to 216,246 and 344,355

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Solution

The third proportional to 216,246 and 344,355 is: 548,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,246 : 344,355 = 344,355 : x
  2. Step 2: Convert to fraction form
    216,246/344,355 = 344,355/x
  3. Step 3: Cross multiply
    216,246x = 344,355 × 344,355
  4. Step 4: Simplify right side
    216,246x = 118,580,366,025
  5. Step 5: Solve for x
    x = 118,580,366,025/216,246
  6. Step 6: Final answer
    x = 548,358.66

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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.