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Finding the Third Proportional to 171,229 and 272,699.50

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Solution

The third proportional to 171,229 and 272,699.50 is: 434,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,229 : 272,699.50 = 272,699.50 : x
  2. Step 2: Convert to fraction form
    171,229/272,699.50 = 272,699.50/x
  3. Step 3: Cross multiply
    171,229x = 272,699.50 × 272,699.50
  4. Step 4: Simplify right side
    171,229x = 74,365,017,300.25
  5. Step 5: Solve for x
    x = 74,365,017,300.25/171,229
  6. Step 6: Final answer
    x = 434,301.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.