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Finding the Third Proportional to 219,283.13 and 328,032.38

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Solution

The third proportional to 219,283.13 and 328,032.38 is: 490,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,283.13 : 328,032.38 = 328,032.38 : x
  2. Step 2: Convert to fraction form
    219,283.13/328,032.38 = 328,032.38/x
  3. Step 3: Cross multiply
    219,283.13x = 328,032.38 × 328,032.38
  4. Step 4: Simplify right side
    219,283.13x = 107,605,239,048.14
  5. Step 5: Solve for x
    x = 107,605,239,048.14/219,283.13
  6. Step 6: Final answer
    x = 490,713.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.