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Finding the Third Proportional to 234,133.50 and 503,812.50

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Solution

The third proportional to 234,133.50 and 503,812.50 is: 1,084,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,133.50 : 503,812.50 = 503,812.50 : x
  2. Step 2: Convert to fraction form
    234,133.50/503,812.50 = 503,812.50/x
  3. Step 3: Cross multiply
    234,133.50x = 503,812.50 × 503,812.50
  4. Step 4: Simplify right side
    234,133.50x = 253,827,035,156.25
  5. Step 5: Solve for x
    x = 253,827,035,156.25/234,133.50
  6. Step 6: Final answer
    x = 1,084,112.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.