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Finding the Third Proportional to 148,056 and 325,636.50

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Solution

The third proportional to 148,056 and 325,636.50 is: 716,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,056 : 325,636.50 = 325,636.50 : x
  2. Step 2: Convert to fraction form
    148,056/325,636.50 = 325,636.50/x
  3. Step 3: Cross multiply
    148,056x = 325,636.50 × 325,636.50
  4. Step 4: Simplify right side
    148,056x = 106,039,130,132.25
  5. Step 5: Solve for x
    x = 106,039,130,132.25/148,056
  6. Step 6: Final answer
    x = 716,209.61

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