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Finding the Third Proportional to 141,309 and 197,658

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Solution

The third proportional to 141,309 and 197,658 is: 276,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,309 : 197,658 = 197,658 : x
  2. Step 2: Convert to fraction form
    141,309/197,658 = 197,658/x
  3. Step 3: Cross multiply
    141,309x = 197,658 × 197,658
  4. Step 4: Simplify right side
    141,309x = 39,068,684,964
  5. Step 5: Solve for x
    x = 39,068,684,964/141,309
  6. Step 6: Final answer
    x = 276,476.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.