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Finding the Third Proportional to 152,030.25 and 238,487.63

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Solution

The third proportional to 152,030.25 and 238,487.63 is: 374,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,030.25 : 238,487.63 = 238,487.63 : x
  2. Step 2: Convert to fraction form
    152,030.25/238,487.63 = 238,487.63/x
  3. Step 3: Cross multiply
    152,030.25x = 238,487.63 × 238,487.63
  4. Step 4: Simplify right side
    152,030.25x = 56,876,347,278.14
  5. Step 5: Solve for x
    x = 56,876,347,278.14/152,030.25
  6. Step 6: Final answer
    x = 374,112.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.