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Finding the Third Proportional to 170,541 and 238,549.50

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Solution

The third proportional to 170,541 and 238,549.50 is: 333,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,541 : 238,549.50 = 238,549.50 : x
  2. Step 2: Convert to fraction form
    170,541/238,549.50 = 238,549.50/x
  3. Step 3: Cross multiply
    170,541x = 238,549.50 × 238,549.50
  4. Step 4: Simplify right side
    170,541x = 56,905,863,950.25
  5. Step 5: Solve for x
    x = 56,905,863,950.25/170,541
  6. Step 6: Final answer
    x = 333,678.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.