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Finding the Third Proportional to 176,316 and 268,605

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Solution

The third proportional to 176,316 and 268,605 is: 409,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,316 : 268,605 = 268,605 : x
  2. Step 2: Convert to fraction form
    176,316/268,605 = 268,605/x
  3. Step 3: Cross multiply
    176,316x = 268,605 × 268,605
  4. Step 4: Simplify right side
    176,316x = 72,148,646,025
  5. Step 5: Solve for x
    x = 72,148,646,025/176,316
  6. Step 6: Final answer
    x = 409,200.79

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Why These Related Problems?

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