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Finding the Third Proportional to 141,348 and 299,220

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Solution

The third proportional to 141,348 and 299,220 is: 633,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,348 : 299,220 = 299,220 : x
  2. Step 2: Convert to fraction form
    141,348/299,220 = 299,220/x
  3. Step 3: Cross multiply
    141,348x = 299,220 × 299,220
  4. Step 4: Simplify right side
    141,348x = 89,532,608,400
  5. Step 5: Solve for x
    x = 89,532,608,400/141,348
  6. Step 6: Final answer
    x = 633,419.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.