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Finding the Third Proportional to 228,762 and 344,943

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Solution

The third proportional to 228,762 and 344,943 is: 520,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,762 : 344,943 = 344,943 : x
  2. Step 2: Convert to fraction form
    228,762/344,943 = 344,943/x
  3. Step 3: Cross multiply
    228,762x = 344,943 × 344,943
  4. Step 4: Simplify right side
    228,762x = 118,985,673,249
  5. Step 5: Solve for x
    x = 118,985,673,249/228,762
  6. Step 6: Final answer
    x = 520,128.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.