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Finding the Third Proportional to 182,271 and 392,482.50

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Solution

The third proportional to 182,271 and 392,482.50 is: 845,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,271 : 392,482.50 = 392,482.50 : x
  2. Step 2: Convert to fraction form
    182,271/392,482.50 = 392,482.50/x
  3. Step 3: Cross multiply
    182,271x = 392,482.50 × 392,482.50
  4. Step 4: Simplify right side
    182,271x = 154,042,512,806.25
  5. Step 5: Solve for x
    x = 154,042,512,806.25/182,271
  6. Step 6: Final answer
    x = 845,129.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.