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Finding the Third Proportional to 174,906 and 374,703

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Solution

The third proportional to 174,906 and 374,703 is: 802,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,906 : 374,703 = 374,703 : x
  2. Step 2: Convert to fraction form
    174,906/374,703 = 374,703/x
  3. Step 3: Cross multiply
    174,906x = 374,703 × 374,703
  4. Step 4: Simplify right side
    174,906x = 140,402,338,209
  5. Step 5: Solve for x
    x = 140,402,338,209/174,906
  6. Step 6: Final answer
    x = 802,730.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.