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Finding the Third Proportional to 184,022.50 and 260,962.50

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Solution

The third proportional to 184,022.50 and 260,962.50 is: 370,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,022.50 : 260,962.50 = 260,962.50 : x
  2. Step 2: Convert to fraction form
    184,022.50/260,962.50 = 260,962.50/x
  3. Step 3: Cross multiply
    184,022.50x = 260,962.50 × 260,962.50
  4. Step 4: Simplify right side
    184,022.50x = 68,101,426,406.25
  5. Step 5: Solve for x
    x = 68,101,426,406.25/184,022.50
  6. Step 6: Final answer
    x = 370,071.19

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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.