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Finding the Third Proportional to 147,264.75 and 305,457.75

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Solution

The third proportional to 147,264.75 and 305,457.75 is: 633,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,264.75 : 305,457.75 = 305,457.75 : x
  2. Step 2: Convert to fraction form
    147,264.75/305,457.75 = 305,457.75/x
  3. Step 3: Cross multiply
    147,264.75x = 305,457.75 × 305,457.75
  4. Step 4: Simplify right side
    147,264.75x = 93,304,437,035.06
  5. Step 5: Solve for x
    x = 93,304,437,035.06/147,264.75
  6. Step 6: Final answer
    x = 633,582.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.