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Finding the Third Proportional to 171,672 and 375,600

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Solution

The third proportional to 171,672 and 375,600 is: 821,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,672 : 375,600 = 375,600 : x
  2. Step 2: Convert to fraction form
    171,672/375,600 = 375,600/x
  3. Step 3: Cross multiply
    171,672x = 375,600 × 375,600
  4. Step 4: Simplify right side
    171,672x = 141,075,360,000
  5. Step 5: Solve for x
    x = 141,075,360,000/171,672
  6. Step 6: Final answer
    x = 821,772.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.