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Finding the Third Proportional to 173,428 and 374,504

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Solution

The third proportional to 173,428 and 374,504 is: 808,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,428 : 374,504 = 374,504 : x
  2. Step 2: Convert to fraction form
    173,428/374,504 = 374,504/x
  3. Step 3: Cross multiply
    173,428x = 374,504 × 374,504
  4. Step 4: Simplify right side
    173,428x = 140,253,246,016
  5. Step 5: Solve for x
    x = 140,253,246,016/173,428
  6. Step 6: Final answer
    x = 808,711.66

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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.