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Finding the Third Proportional to 175,018 and 374,820

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Solution

The third proportional to 175,018 and 374,820 is: 802,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,018 : 374,820 = 374,820 : x
  2. Step 2: Convert to fraction form
    175,018/374,820 = 374,820/x
  3. Step 3: Cross multiply
    175,018x = 374,820 × 374,820
  4. Step 4: Simplify right side
    175,018x = 140,490,032,400
  5. Step 5: Solve for x
    x = 140,490,032,400/175,018
  6. Step 6: Final answer
    x = 802,717.62

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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.