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Finding the Third Proportional to 141,520 and 209,040

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Solution

The third proportional to 141,520 and 209,040 is: 308,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,520 : 209,040 = 209,040 : x
  2. Step 2: Convert to fraction form
    141,520/209,040 = 209,040/x
  3. Step 3: Cross multiply
    141,520x = 209,040 × 209,040
  4. Step 4: Simplify right side
    141,520x = 43,697,721,600
  5. Step 5: Solve for x
    x = 43,697,721,600/141,520
  6. Step 6: Final answer
    x = 308,774.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.