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Finding the Third Proportional to 166,827.09 and 243,132.89

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Solution

The third proportional to 166,827.09 and 243,132.89 is: 354,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,827.09 : 243,132.89 = 243,132.89 : x
  2. Step 2: Convert to fraction form
    166,827.09/243,132.89 = 243,132.89/x
  3. Step 3: Cross multiply
    166,827.09x = 243,132.89 × 243,132.89
  4. Step 4: Simplify right side
    166,827.09x = 59,113,602,503.67
  5. Step 5: Solve for x
    x = 59,113,602,503.67/166,827.09
  6. Step 6: Final answer
    x = 354,340.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.