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Finding the Third Proportional to 141,752 and 219,328

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Solution

The third proportional to 141,752 and 219,328 is: 339,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,752 : 219,328 = 219,328 : x
  2. Step 2: Convert to fraction form
    141,752/219,328 = 219,328/x
  3. Step 3: Cross multiply
    141,752x = 219,328 × 219,328
  4. Step 4: Simplify right side
    141,752x = 48,104,771,584
  5. Step 5: Solve for x
    x = 48,104,771,584/141,752
  6. Step 6: Final answer
    x = 339,358.68

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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.