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Finding the Third Proportional to 152,577.42 and 309,306.73

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Solution

The third proportional to 152,577.42 and 309,306.73 is: 627,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,577.42 : 309,306.73 = 309,306.73 : x
  2. Step 2: Convert to fraction form
    152,577.42/309,306.73 = 309,306.73/x
  3. Step 3: Cross multiply
    152,577.42x = 309,306.73 × 309,306.73
  4. Step 4: Simplify right side
    152,577.42x = 95,670,651,096.81
  5. Step 5: Solve for x
    x = 95,670,651,096.81/152,577.42
  6. Step 6: Final answer
    x = 627,030.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.