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Finding the Third Proportional to 180,776 and 374,128

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Solution

The third proportional to 180,776 and 374,128 is: 774,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,776 : 374,128 = 374,128 : x
  2. Step 2: Convert to fraction form
    180,776/374,128 = 374,128/x
  3. Step 3: Cross multiply
    180,776x = 374,128 × 374,128
  4. Step 4: Simplify right side
    180,776x = 139,971,760,384
  5. Step 5: Solve for x
    x = 139,971,760,384/180,776
  6. Step 6: Final answer
    x = 774,282.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.