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Finding the Third Proportional to 158,688 and 332,940

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Solution

The third proportional to 158,688 and 332,940 is: 698,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,688 : 332,940 = 332,940 : x
  2. Step 2: Convert to fraction form
    158,688/332,940 = 332,940/x
  3. Step 3: Cross multiply
    158,688x = 332,940 × 332,940
  4. Step 4: Simplify right side
    158,688x = 110,849,043,600
  5. Step 5: Solve for x
    x = 110,849,043,600/158,688
  6. Step 6: Final answer
    x = 698,534.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.