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Finding the Third Proportional to 223,580 and 328,242

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Solution

The third proportional to 223,580 and 328,242 is: 481,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,580 : 328,242 = 328,242 : x
  2. Step 2: Convert to fraction form
    223,580/328,242 = 328,242/x
  3. Step 3: Cross multiply
    223,580x = 328,242 × 328,242
  4. Step 4: Simplify right side
    223,580x = 107,742,810,564
  5. Step 5: Solve for x
    x = 107,742,810,564/223,580
  6. Step 6: Final answer
    x = 481,898.25

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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.