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Finding the Third Proportional to 118,427.06 and 253,742.63

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Solution

The third proportional to 118,427.06 and 253,742.63 is: 543,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,427.06 : 253,742.63 = 253,742.63 : x
  2. Step 2: Convert to fraction form
    118,427.06/253,742.63 = 253,742.63/x
  3. Step 3: Cross multiply
    118,427.06x = 253,742.63 × 253,742.63
  4. Step 4: Simplify right side
    118,427.06x = 64,385,319,741.89
  5. Step 5: Solve for x
    x = 64,385,319,741.89/118,427.06
  6. Step 6: Final answer
    x = 543,670.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.