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Finding the Third Proportional to 138,312 and 281,695.50

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Solution

The third proportional to 138,312 and 281,695.50 is: 573,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,312 : 281,695.50 = 281,695.50 : x
  2. Step 2: Convert to fraction form
    138,312/281,695.50 = 281,695.50/x
  3. Step 3: Cross multiply
    138,312x = 281,695.50 × 281,695.50
  4. Step 4: Simplify right side
    138,312x = 79,352,354,720.25
  5. Step 5: Solve for x
    x = 79,352,354,720.25/138,312
  6. Step 6: Final answer
    x = 573,719.96

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.