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Finding the Third Proportional to 176,323.50 and 268,614

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Solution

The third proportional to 176,323.50 and 268,614 is: 409,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,323.50 : 268,614 = 268,614 : x
  2. Step 2: Convert to fraction form
    176,323.50/268,614 = 268,614/x
  3. Step 3: Cross multiply
    176,323.50x = 268,614 × 268,614
  4. Step 4: Simplify right side
    176,323.50x = 72,153,480,996
  5. Step 5: Solve for x
    x = 72,153,480,996/176,323.50
  6. Step 6: Final answer
    x = 409,210.80

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