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Finding the Third Proportional to 101,328.75 and 234,580.50

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Solution

The third proportional to 101,328.75 and 234,580.50 is: 543,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,328.75 : 234,580.50 = 234,580.50 : x
  2. Step 2: Convert to fraction form
    101,328.75/234,580.50 = 234,580.50/x
  3. Step 3: Cross multiply
    101,328.75x = 234,580.50 × 234,580.50
  4. Step 4: Simplify right side
    101,328.75x = 55,028,010,980.25
  5. Step 5: Solve for x
    x = 55,028,010,980.25/101,328.75
  6. Step 6: Final answer
    x = 543,064.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.