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Finding the Third Proportional to 156,688.50 and 238,705.50

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Solution

The third proportional to 156,688.50 and 238,705.50 is: 363,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,688.50 : 238,705.50 = 238,705.50 : x
  2. Step 2: Convert to fraction form
    156,688.50/238,705.50 = 238,705.50/x
  3. Step 3: Cross multiply
    156,688.50x = 238,705.50 × 238,705.50
  4. Step 4: Simplify right side
    156,688.50x = 56,980,315,730.25
  5. Step 5: Solve for x
    x = 56,980,315,730.25/156,688.50
  6. Step 6: Final answer
    x = 363,653.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.