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Finding the Third Proportional to 147,604 and 305,711

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Solution

The third proportional to 147,604 and 305,711 is: 633,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,604 : 305,711 = 305,711 : x
  2. Step 2: Convert to fraction form
    147,604/305,711 = 305,711/x
  3. Step 3: Cross multiply
    147,604x = 305,711 × 305,711
  4. Step 4: Simplify right side
    147,604x = 93,459,215,521
  5. Step 5: Solve for x
    x = 93,459,215,521/147,604
  6. Step 6: Final answer
    x = 633,175.36

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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.