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Finding the Third Proportional to 223,567.50 and 328,222.50

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Solution

The third proportional to 223,567.50 and 328,222.50 is: 481,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,567.50 : 328,222.50 = 328,222.50 : x
  2. Step 2: Convert to fraction form
    223,567.50/328,222.50 = 328,222.50/x
  3. Step 3: Cross multiply
    223,567.50x = 328,222.50 × 328,222.50
  4. Step 4: Simplify right side
    223,567.50x = 107,730,009,506.25
  5. Step 5: Solve for x
    x = 107,730,009,506.25/223,567.50
  6. Step 6: Final answer
    x = 481,867.93

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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.