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Finding the Third Proportional to 163,376 and 221,730

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Solution

The third proportional to 163,376 and 221,730 is: 300,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,376 : 221,730 = 221,730 : x
  2. Step 2: Convert to fraction form
    163,376/221,730 = 221,730/x
  3. Step 3: Cross multiply
    163,376x = 221,730 × 221,730
  4. Step 4: Simplify right side
    163,376x = 49,164,192,900
  5. Step 5: Solve for x
    x = 49,164,192,900/163,376
  6. Step 6: Final answer
    x = 300,926.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.