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Finding the Third Proportional to 228,075.33 and 328,535.30

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Solution

The third proportional to 228,075.33 and 328,535.30 is: 473,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,075.33 : 328,535.30 = 328,535.30 : x
  2. Step 2: Convert to fraction form
    228,075.33/328,535.30 = 328,535.30/x
  3. Step 3: Cross multiply
    228,075.33x = 328,535.30 × 328,535.30
  4. Step 4: Simplify right side
    228,075.33x = 107,935,441,292.74
  5. Step 5: Solve for x
    x = 107,935,441,292.74/228,075.33
  6. Step 6: Final answer
    x = 473,244.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.