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Finding the Third Proportional to 129,153 and 278,693

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Solution

The third proportional to 129,153 and 278,693 is: 601,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,153 : 278,693 = 278,693 : x
  2. Step 2: Convert to fraction form
    129,153/278,693 = 278,693/x
  3. Step 3: Cross multiply
    129,153x = 278,693 × 278,693
  4. Step 4: Simplify right side
    129,153x = 77,669,788,249
  5. Step 5: Solve for x
    x = 77,669,788,249/129,153
  6. Step 6: Final answer
    x = 601,378.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.