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Finding the Third Proportional to 226,852.50 and 348,210

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Solution

The third proportional to 226,852.50 and 348,210 is: 534,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,852.50 : 348,210 = 348,210 : x
  2. Step 2: Convert to fraction form
    226,852.50/348,210 = 348,210/x
  3. Step 3: Cross multiply
    226,852.50x = 348,210 × 348,210
  4. Step 4: Simplify right side
    226,852.50x = 121,250,204,100
  5. Step 5: Solve for x
    x = 121,250,204,100/226,852.50
  6. Step 6: Final answer
    x = 534,489.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.