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Finding the Third Proportional to 164,213 and 355,413

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Solution

The third proportional to 164,213 and 355,413 is: 769,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,213 : 355,413 = 355,413 : x
  2. Step 2: Convert to fraction form
    164,213/355,413 = 355,413/x
  3. Step 3: Cross multiply
    164,213x = 355,413 × 355,413
  4. Step 4: Simplify right side
    164,213x = 126,318,400,569
  5. Step 5: Solve for x
    x = 126,318,400,569/164,213
  6. Step 6: Final answer
    x = 769,235.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.