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Finding the Third Proportional to 229,873.50 and 453,852

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Solution

The third proportional to 229,873.50 and 453,852 is: 896,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,873.50 : 453,852 = 453,852 : x
  2. Step 2: Convert to fraction form
    229,873.50/453,852 = 453,852/x
  3. Step 3: Cross multiply
    229,873.50x = 453,852 × 453,852
  4. Step 4: Simplify right side
    229,873.50x = 205,981,637,904
  5. Step 5: Solve for x
    x = 205,981,637,904/229,873.50
  6. Step 6: Final answer
    x = 896,065.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.