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Finding the Third Proportional to 183,728 and 260,047

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Solution

The third proportional to 183,728 and 260,047 is: 368,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,728 : 260,047 = 260,047 : x
  2. Step 2: Convert to fraction form
    183,728/260,047 = 260,047/x
  3. Step 3: Cross multiply
    183,728x = 260,047 × 260,047
  4. Step 4: Simplify right side
    183,728x = 67,624,442,209
  5. Step 5: Solve for x
    x = 67,624,442,209/183,728
  6. Step 6: Final answer
    x = 368,068.24

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Why These Related Problems?

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