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Finding the Third Proportional to 176,750 and 373,971

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Solution

The third proportional to 176,750 and 373,971 is: 791,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,750 : 373,971 = 373,971 : x
  2. Step 2: Convert to fraction form
    176,750/373,971 = 373,971/x
  3. Step 3: Cross multiply
    176,750x = 373,971 × 373,971
  4. Step 4: Simplify right side
    176,750x = 139,854,308,841
  5. Step 5: Solve for x
    x = 139,854,308,841/176,750
  6. Step 6: Final answer
    x = 791,254.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.