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Finding the Third Proportional to 148,053 and 325,623.75

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Solution

The third proportional to 148,053 and 325,623.75 is: 716,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,053 : 325,623.75 = 325,623.75 : x
  2. Step 2: Convert to fraction form
    148,053/325,623.75 = 325,623.75/x
  3. Step 3: Cross multiply
    148,053x = 325,623.75 × 325,623.75
  4. Step 4: Simplify right side
    148,053x = 106,030,826,564.06
  5. Step 5: Solve for x
    x = 106,030,826,564.06/148,053
  6. Step 6: Final answer
    x = 716,168.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.