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Finding the Third Proportional to 66,700 and 157,449.50

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Solution

The third proportional to 66,700 and 157,449.50 is: 371,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,700 : 157,449.50 = 157,449.50 : x
  2. Step 2: Convert to fraction form
    66,700/157,449.50 = 157,449.50/x
  3. Step 3: Cross multiply
    66,700x = 157,449.50 × 157,449.50
  4. Step 4: Simplify right side
    66,700x = 24,790,345,050.25
  5. Step 5: Solve for x
    x = 24,790,345,050.25/66,700
  6. Step 6: Final answer
    x = 371,669.34

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.