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Finding the Third Proportional to 78,278.06 and 174,484.88

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Solution

The third proportional to 78,278.06 and 174,484.88 is: 388,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,278.06 : 174,484.88 = 174,484.88 : x
  2. Step 2: Convert to fraction form
    78,278.06/174,484.88 = 174,484.88/x
  3. Step 3: Cross multiply
    78,278.06x = 174,484.88 × 174,484.88
  4. Step 4: Simplify right side
    78,278.06x = 30,444,971,603.77
  5. Step 5: Solve for x
    x = 30,444,971,603.77/78,278.06
  6. Step 6: Final answer
    x = 388,933.64

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.