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Finding the Third Proportional to 183,703.50 and 260,012

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Solution

The third proportional to 183,703.50 and 260,012 is: 368,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,703.50 : 260,012 = 260,012 : x
  2. Step 2: Convert to fraction form
    183,703.50/260,012 = 260,012/x
  3. Step 3: Cross multiply
    183,703.50x = 260,012 × 260,012
  4. Step 4: Simplify right side
    183,703.50x = 67,606,240,144
  5. Step 5: Solve for x
    x = 67,606,240,144/183,703.50
  6. Step 6: Final answer
    x = 368,018.25

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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.