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Finding the Third Proportional to 234,186.75 and 484,987.50

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Solution

The third proportional to 234,186.75 and 484,987.50 is: 1,004,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,186.75 : 484,987.50 = 484,987.50 : x
  2. Step 2: Convert to fraction form
    234,186.75/484,987.50 = 484,987.50/x
  3. Step 3: Cross multiply
    234,186.75x = 484,987.50 × 484,987.50
  4. Step 4: Simplify right side
    234,186.75x = 235,212,875,156.25
  5. Step 5: Solve for x
    x = 235,212,875,156.25/234,186.75
  6. Step 6: Final answer
    x = 1,004,381.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.