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Finding the Third Proportional to 183,729 and 260,045

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Solution

The third proportional to 183,729 and 260,045 is: 368,060.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,729 : 260,045 = 260,045 : x
  2. Step 2: Convert to fraction form
    183,729/260,045 = 260,045/x
  3. Step 3: Cross multiply
    183,729x = 260,045 × 260,045
  4. Step 4: Simplify right side
    183,729x = 67,623,402,025
  5. Step 5: Solve for x
    x = 67,623,402,025/183,729
  6. Step 6: Final answer
    x = 368,060.58

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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.