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Finding the Third Proportional to 102,475 and 220,260

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Solution

The third proportional to 102,475 and 220,260 is: 473,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,475 : 220,260 = 220,260 : x
  2. Step 2: Convert to fraction form
    102,475/220,260 = 220,260/x
  3. Step 3: Cross multiply
    102,475x = 220,260 × 220,260
  4. Step 4: Simplify right side
    102,475x = 48,514,467,600
  5. Step 5: Solve for x
    x = 48,514,467,600/102,475
  6. Step 6: Final answer
    x = 473,427.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.