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Finding the Third Proportional to 141,762 and 219,343

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Solution

The third proportional to 141,762 and 219,343 is: 339,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,762 : 219,343 = 219,343 : x
  2. Step 2: Convert to fraction form
    141,762/219,343 = 219,343/x
  3. Step 3: Cross multiply
    141,762x = 219,343 × 219,343
  4. Step 4: Simplify right side
    141,762x = 48,111,351,649
  5. Step 5: Solve for x
    x = 48,111,351,649/141,762
  6. Step 6: Final answer
    x = 339,381.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.