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Finding the Third Proportional to 234,181.50 and 552,632.25

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Solution

The third proportional to 234,181.50 and 552,632.25 is: 1,304,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,181.50 : 552,632.25 = 552,632.25 : x
  2. Step 2: Convert to fraction form
    234,181.50/552,632.25 = 552,632.25/x
  3. Step 3: Cross multiply
    234,181.50x = 552,632.25 × 552,632.25
  4. Step 4: Simplify right side
    234,181.50x = 305,402,403,740.06
  5. Step 5: Solve for x
    x = 305,402,403,740.06/234,181.50
  6. Step 6: Final answer
    x = 1,304,126.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.