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Finding the Third Proportional to 148,005 and 325,534.50

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Solution

The third proportional to 148,005 and 325,534.50 is: 716,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,005 : 325,534.50 = 325,534.50 : x
  2. Step 2: Convert to fraction form
    148,005/325,534.50 = 325,534.50/x
  3. Step 3: Cross multiply
    148,005x = 325,534.50 × 325,534.50
  4. Step 4: Simplify right side
    148,005x = 105,972,710,690.25
  5. Step 5: Solve for x
    x = 105,972,710,690.25/148,005
  6. Step 6: Final answer
    x = 716,007.64

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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.