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Finding the Third Proportional to 223,584 and 328,248

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Solution

The third proportional to 223,584 and 328,248 is: 481,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,584 : 328,248 = 328,248 : x
  2. Step 2: Convert to fraction form
    223,584/328,248 = 328,248/x
  3. Step 3: Cross multiply
    223,584x = 328,248 × 328,248
  4. Step 4: Simplify right side
    223,584x = 107,746,749,504
  5. Step 5: Solve for x
    x = 107,746,749,504/223,584
  6. Step 6: Final answer
    x = 481,907.25

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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.