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Finding the Third Proportional to 147,177 and 314,725.50

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Solution

The third proportional to 147,177 and 314,725.50 is: 673,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,177 : 314,725.50 = 314,725.50 : x
  2. Step 2: Convert to fraction form
    147,177/314,725.50 = 314,725.50/x
  3. Step 3: Cross multiply
    147,177x = 314,725.50 × 314,725.50
  4. Step 4: Simplify right side
    147,177x = 99,052,140,350.25
  5. Step 5: Solve for x
    x = 99,052,140,350.25/147,177
  6. Step 6: Final answer
    x = 673,013.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.