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Finding the Third Proportional to 182,776 and 266,388

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Solution

The third proportional to 182,776 and 266,388 is: 388,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,776 : 266,388 = 266,388 : x
  2. Step 2: Convert to fraction form
    182,776/266,388 = 266,388/x
  3. Step 3: Cross multiply
    182,776x = 266,388 × 266,388
  4. Step 4: Simplify right side
    182,776x = 70,962,566,544
  5. Step 5: Solve for x
    x = 70,962,566,544/182,776
  6. Step 6: Final answer
    x = 388,248.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.