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Finding the Third Proportional to 165,302 and 245,523

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Solution

The third proportional to 165,302 and 245,523 is: 364,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,302 : 245,523 = 245,523 : x
  2. Step 2: Convert to fraction form
    165,302/245,523 = 245,523/x
  3. Step 3: Cross multiply
    165,302x = 245,523 × 245,523
  4. Step 4: Simplify right side
    165,302x = 60,281,543,529
  5. Step 5: Solve for x
    x = 60,281,543,529/165,302
  6. Step 6: Final answer
    x = 364,675.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.