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Finding the Third Proportional to 166,578 and 243,646.50

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Solution

The third proportional to 166,578 and 243,646.50 is: 356,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,578 : 243,646.50 = 243,646.50 : x
  2. Step 2: Convert to fraction form
    166,578/243,646.50 = 243,646.50/x
  3. Step 3: Cross multiply
    166,578x = 243,646.50 × 243,646.50
  4. Step 4: Simplify right side
    166,578x = 59,363,616,962.25
  5. Step 5: Solve for x
    x = 59,363,616,962.25/166,578
  6. Step 6: Final answer
    x = 356,371.29

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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.