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Finding the Third Proportional to 147,388 and 315,806

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Solution

The third proportional to 147,388 and 315,806 is: 676,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,388 : 315,806 = 315,806 : x
  2. Step 2: Convert to fraction form
    147,388/315,806 = 315,806/x
  3. Step 3: Cross multiply
    147,388x = 315,806 × 315,806
  4. Step 4: Simplify right side
    147,388x = 99,733,429,636
  5. Step 5: Solve for x
    x = 99,733,429,636/147,388
  6. Step 6: Final answer
    x = 676,672.66

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Why These Related Problems?

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