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Finding the Third Proportional to 111,297 and 170,626.50

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Solution

The third proportional to 111,297 and 170,626.50 is: 261,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,297 : 170,626.50 = 170,626.50 : x
  2. Step 2: Convert to fraction form
    111,297/170,626.50 = 170,626.50/x
  3. Step 3: Cross multiply
    111,297x = 170,626.50 × 170,626.50
  4. Step 4: Simplify right side
    111,297x = 29,113,402,502.25
  5. Step 5: Solve for x
    x = 29,113,402,502.25/111,297
  6. Step 6: Final answer
    x = 261,582.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.