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Finding the Third Proportional to 103,475 and 220,700

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Solution

The third proportional to 103,475 and 220,700 is: 470,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,475 : 220,700 = 220,700 : x
  2. Step 2: Convert to fraction form
    103,475/220,700 = 220,700/x
  3. Step 3: Cross multiply
    103,475x = 220,700 × 220,700
  4. Step 4: Simplify right side
    103,475x = 48,708,490,000
  5. Step 5: Solve for x
    x = 48,708,490,000/103,475
  6. Step 6: Final answer
    x = 470,727.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.