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Finding the Third Proportional to 180,964.50 and 266,175

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Solution

The third proportional to 180,964.50 and 266,175 is: 391,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,964.50 : 266,175 = 266,175 : x
  2. Step 2: Convert to fraction form
    180,964.50/266,175 = 266,175/x
  3. Step 3: Cross multiply
    180,964.50x = 266,175 × 266,175
  4. Step 4: Simplify right side
    180,964.50x = 70,849,130,625
  5. Step 5: Solve for x
    x = 70,849,130,625/180,964.50
  6. Step 6: Final answer
    x = 391,508.45

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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.