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Finding the Third Proportional to 176,487.75 and 266,394.75

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Solution

The third proportional to 176,487.75 and 266,394.75 is: 402,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,487.75 : 266,394.75 = 266,394.75 : x
  2. Step 2: Convert to fraction form
    176,487.75/266,394.75 = 266,394.75/x
  3. Step 3: Cross multiply
    176,487.75x = 266,394.75 × 266,394.75
  4. Step 4: Simplify right side
    176,487.75x = 70,966,162,827.56
  5. Step 5: Solve for x
    x = 70,966,162,827.56/176,487.75
  6. Step 6: Final answer
    x = 402,102.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.