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Finding the Third Proportional to 199,620 and 293,575.50

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Solution

The third proportional to 199,620 and 293,575.50 is: 431,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,620 : 293,575.50 = 293,575.50 : x
  2. Step 2: Convert to fraction form
    199,620/293,575.50 = 293,575.50/x
  3. Step 3: Cross multiply
    199,620x = 293,575.50 × 293,575.50
  4. Step 4: Simplify right side
    199,620x = 86,186,574,200.25
  5. Step 5: Solve for x
    x = 86,186,574,200.25/199,620
  6. Step 6: Final answer
    x = 431,753.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.