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Finding the Third Proportional to 141,140 and 219,486

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Solution

The third proportional to 141,140 and 219,486 is: 341,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,140 : 219,486 = 219,486 : x
  2. Step 2: Convert to fraction form
    141,140/219,486 = 219,486/x
  3. Step 3: Cross multiply
    141,140x = 219,486 × 219,486
  4. Step 4: Simplify right side
    141,140x = 48,174,104,196
  5. Step 5: Solve for x
    x = 48,174,104,196/141,140
  6. Step 6: Final answer
    x = 341,321.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.