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Finding the Third Proportional to 147,610 and 305,724

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Solution

The third proportional to 147,610 and 305,724 is: 633,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,610 : 305,724 = 305,724 : x
  2. Step 2: Convert to fraction form
    147,610/305,724 = 305,724/x
  3. Step 3: Cross multiply
    147,610x = 305,724 × 305,724
  4. Step 4: Simplify right side
    147,610x = 93,467,164,176
  5. Step 5: Solve for x
    x = 93,467,164,176/147,610
  6. Step 6: Final answer
    x = 633,203.47

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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.