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Finding the Third Proportional to 165,300 and 245,520

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Solution

The third proportional to 165,300 and 245,520 is: 364,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,300 : 245,520 = 245,520 : x
  2. Step 2: Convert to fraction form
    165,300/245,520 = 245,520/x
  3. Step 3: Cross multiply
    165,300x = 245,520 × 245,520
  4. Step 4: Simplify right side
    165,300x = 60,280,070,400
  5. Step 5: Solve for x
    x = 60,280,070,400/165,300
  6. Step 6: Final answer
    x = 364,670.72

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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.