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Finding the Third Proportional to 74,307 and 160,733.50

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Solution

The third proportional to 74,307 and 160,733.50 is: 347,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,307 : 160,733.50 = 160,733.50 : x
  2. Step 2: Convert to fraction form
    74,307/160,733.50 = 160,733.50/x
  3. Step 3: Cross multiply
    74,307x = 160,733.50 × 160,733.50
  4. Step 4: Simplify right side
    74,307x = 25,835,258,022.25
  5. Step 5: Solve for x
    x = 25,835,258,022.25/74,307
  6. Step 6: Final answer
    x = 347,682.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.