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Finding the Third Proportional to 173,964 and 376,708

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Solution

The third proportional to 173,964 and 376,708 is: 815,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,964 : 376,708 = 376,708 : x
  2. Step 2: Convert to fraction form
    173,964/376,708 = 376,708/x
  3. Step 3: Cross multiply
    173,964x = 376,708 × 376,708
  4. Step 4: Simplify right side
    173,964x = 141,908,917,264
  5. Step 5: Solve for x
    x = 141,908,917,264/173,964
  6. Step 6: Final answer
    x = 815,737.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.