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Finding the Third Proportional to 151,894.50 and 332,382

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Solution

The third proportional to 151,894.50 and 332,382 is: 727,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,894.50 : 332,382 = 332,382 : x
  2. Step 2: Convert to fraction form
    151,894.50/332,382 = 332,382/x
  3. Step 3: Cross multiply
    151,894.50x = 332,382 × 332,382
  4. Step 4: Simplify right side
    151,894.50x = 110,477,793,924
  5. Step 5: Solve for x
    x = 110,477,793,924/151,894.50
  6. Step 6: Final answer
    x = 727,332.42

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