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Finding the Third Proportional to 141,924 and 213,480

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Solution

The third proportional to 141,924 and 213,480 is: 321,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,924 : 213,480 = 213,480 : x
  2. Step 2: Convert to fraction form
    141,924/213,480 = 213,480/x
  3. Step 3: Cross multiply
    141,924x = 213,480 × 213,480
  4. Step 4: Simplify right side
    141,924x = 45,573,710,400
  5. Step 5: Solve for x
    x = 45,573,710,400/141,924
  6. Step 6: Final answer
    x = 321,113.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.