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Finding the Third Proportional to 160,174 and 243,071

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Solution

The third proportional to 160,174 and 243,071 is: 368,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,174 : 243,071 = 243,071 : x
  2. Step 2: Convert to fraction form
    160,174/243,071 = 243,071/x
  3. Step 3: Cross multiply
    160,174x = 243,071 × 243,071
  4. Step 4: Simplify right side
    160,174x = 59,083,511,041
  5. Step 5: Solve for x
    x = 59,083,511,041/160,174
  6. Step 6: Final answer
    x = 368,870.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.