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Finding the Third Proportional to 166,521 and 247,207.50

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Solution

The third proportional to 166,521 and 247,207.50 is: 366,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,521 : 247,207.50 = 247,207.50 : x
  2. Step 2: Convert to fraction form
    166,521/247,207.50 = 247,207.50/x
  3. Step 3: Cross multiply
    166,521x = 247,207.50 × 247,207.50
  4. Step 4: Simplify right side
    166,521x = 61,111,548,056.25
  5. Step 5: Solve for x
    x = 61,111,548,056.25/166,521
  6. Step 6: Final answer
    x = 366,990.04

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.