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Finding the Third Proportional to 152,713 and 332,531.50

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Solution

The third proportional to 152,713 and 332,531.50 is: 724,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,713 : 332,531.50 = 332,531.50 : x
  2. Step 2: Convert to fraction form
    152,713/332,531.50 = 332,531.50/x
  3. Step 3: Cross multiply
    152,713x = 332,531.50 × 332,531.50
  4. Step 4: Simplify right side
    152,713x = 110,577,198,492.25
  5. Step 5: Solve for x
    x = 110,577,198,492.25/152,713
  6. Step 6: Final answer
    x = 724,085.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.