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Finding the Third Proportional to 156,653 and 238,657.50

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Solution

The third proportional to 156,653 and 238,657.50 is: 363,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,653 : 238,657.50 = 238,657.50 : x
  2. Step 2: Convert to fraction form
    156,653/238,657.50 = 238,657.50/x
  3. Step 3: Cross multiply
    156,653x = 238,657.50 × 238,657.50
  4. Step 4: Simplify right side
    156,653x = 56,957,402,306.25
  5. Step 5: Solve for x
    x = 56,957,402,306.25/156,653
  6. Step 6: Final answer
    x = 363,589.60

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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.