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Finding the Third Proportional to 180,957 and 266,169

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Solution

The third proportional to 180,957 and 266,169 is: 391,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,957 : 266,169 = 266,169 : x
  2. Step 2: Convert to fraction form
    180,957/266,169 = 266,169/x
  3. Step 3: Cross multiply
    180,957x = 266,169 × 266,169
  4. Step 4: Simplify right side
    180,957x = 70,845,936,561
  5. Step 5: Solve for x
    x = 70,845,936,561/180,957
  6. Step 6: Final answer
    x = 391,507.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.