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Finding the Third Proportional to 175,028 and 374,046

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Solution

The third proportional to 175,028 and 374,046 is: 799,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,028 : 374,046 = 374,046 : x
  2. Step 2: Convert to fraction form
    175,028/374,046 = 374,046/x
  3. Step 3: Cross multiply
    175,028x = 374,046 × 374,046
  4. Step 4: Simplify right side
    175,028x = 139,910,410,116
  5. Step 5: Solve for x
    x = 139,910,410,116/175,028
  6. Step 6: Final answer
    x = 799,360.16

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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.