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Finding the Third Proportional to 141,372 and 299,106

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Solution

The third proportional to 141,372 and 299,106 is: 632,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,372 : 299,106 = 299,106 : x
  2. Step 2: Convert to fraction form
    141,372/299,106 = 299,106/x
  3. Step 3: Cross multiply
    141,372x = 299,106 × 299,106
  4. Step 4: Simplify right side
    141,372x = 89,464,399,236
  5. Step 5: Solve for x
    x = 89,464,399,236/141,372
  6. Step 6: Final answer
    x = 632,829.69

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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.