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Finding the Third Proportional to 151,735 and 332,495

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Solution

The third proportional to 151,735 and 332,495 is: 728,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,735 : 332,495 = 332,495 : x
  2. Step 2: Convert to fraction form
    151,735/332,495 = 332,495/x
  3. Step 3: Cross multiply
    151,735x = 332,495 × 332,495
  4. Step 4: Simplify right side
    151,735x = 110,552,925,025
  5. Step 5: Solve for x
    x = 110,552,925,025/151,735
  6. Step 6: Final answer
    x = 728,592.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.