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Finding the Third Proportional to 148,443.75 and 323,528.25

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Solution

The third proportional to 148,443.75 and 323,528.25 is: 705,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,443.75 : 323,528.25 = 323,528.25 : x
  2. Step 2: Convert to fraction form
    148,443.75/323,528.25 = 323,528.25/x
  3. Step 3: Cross multiply
    148,443.75x = 323,528.25 × 323,528.25
  4. Step 4: Simplify right side
    148,443.75x = 104,670,528,548.06
  5. Step 5: Solve for x
    x = 104,670,528,548.06/148,443.75
  6. Step 6: Final answer
    x = 705,119.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.