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Finding the Third Proportional to 145,590 and 308,676

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Solution

The third proportional to 145,590 and 308,676 is: 654,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,590 : 308,676 = 308,676 : x
  2. Step 2: Convert to fraction form
    145,590/308,676 = 308,676/x
  3. Step 3: Cross multiply
    145,590x = 308,676 × 308,676
  4. Step 4: Simplify right side
    145,590x = 95,280,872,976
  5. Step 5: Solve for x
    x = 95,280,872,976/145,590
  6. Step 6: Final answer
    x = 654,446.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.