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Finding the Third Proportional to 156,804 and 231,510

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Solution

The third proportional to 156,804 and 231,510 is: 341,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,804 : 231,510 = 231,510 : x
  2. Step 2: Convert to fraction form
    156,804/231,510 = 231,510/x
  3. Step 3: Cross multiply
    156,804x = 231,510 × 231,510
  4. Step 4: Simplify right side
    156,804x = 53,596,880,100
  5. Step 5: Solve for x
    x = 53,596,880,100/156,804
  6. Step 6: Final answer
    x = 341,808.12

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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.