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Finding the Third Proportional to 148,040 and 325,602

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Solution

The third proportional to 148,040 and 325,602 is: 716,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,040 : 325,602 = 325,602 : x
  2. Step 2: Convert to fraction form
    148,040/325,602 = 325,602/x
  3. Step 3: Cross multiply
    148,040x = 325,602 × 325,602
  4. Step 4: Simplify right side
    148,040x = 106,016,662,404
  5. Step 5: Solve for x
    x = 106,016,662,404/148,040
  6. Step 6: Final answer
    x = 716,135.25

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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.