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Finding the Third Proportional to 147,437 and 315,907

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Solution

The third proportional to 147,437 and 315,907 is: 676,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,437 : 315,907 = 315,907 : x
  2. Step 2: Convert to fraction form
    147,437/315,907 = 315,907/x
  3. Step 3: Cross multiply
    147,437x = 315,907 × 315,907
  4. Step 4: Simplify right side
    147,437x = 99,797,232,649
  5. Step 5: Solve for x
    x = 99,797,232,649/147,437
  6. Step 6: Final answer
    x = 676,880.52

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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.