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Finding the Third Proportional to 175,024 and 374,038

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Solution

The third proportional to 175,024 and 374,038 is: 799,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,024 : 374,038 = 374,038 : x
  2. Step 2: Convert to fraction form
    175,024/374,038 = 374,038/x
  3. Step 3: Cross multiply
    175,024x = 374,038 × 374,038
  4. Step 4: Simplify right side
    175,024x = 139,904,425,444
  5. Step 5: Solve for x
    x = 139,904,425,444/175,024
  6. Step 6: Final answer
    x = 799,344.24

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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.