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Finding the Third Proportional to 183,707.50 and 260,018

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Solution

The third proportional to 183,707.50 and 260,018 is: 368,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,707.50 : 260,018 = 260,018 : x
  2. Step 2: Convert to fraction form
    183,707.50/260,018 = 260,018/x
  3. Step 3: Cross multiply
    183,707.50x = 260,018 × 260,018
  4. Step 4: Simplify right side
    183,707.50x = 67,609,360,324
  5. Step 5: Solve for x
    x = 67,609,360,324/183,707.50
  6. Step 6: Final answer
    x = 368,027.22

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.