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Finding the Third Proportional to 223,944 and 329,382

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Solution

The third proportional to 223,944 and 329,382 is: 484,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,944 : 329,382 = 329,382 : x
  2. Step 2: Convert to fraction form
    223,944/329,382 = 329,382/x
  3. Step 3: Cross multiply
    223,944x = 329,382 × 329,382
  4. Step 4: Simplify right side
    223,944x = 108,492,501,924
  5. Step 5: Solve for x
    x = 108,492,501,924/223,944
  6. Step 6: Final answer
    x = 484,462.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.