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Finding the Third Proportional to 183,527 and 389,086.50

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Solution

The third proportional to 183,527 and 389,086.50 is: 824,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,527 : 389,086.50 = 389,086.50 : x
  2. Step 2: Convert to fraction form
    183,527/389,086.50 = 389,086.50/x
  3. Step 3: Cross multiply
    183,527x = 389,086.50 × 389,086.50
  4. Step 4: Simplify right side
    183,527x = 151,388,304,482.25
  5. Step 5: Solve for x
    x = 151,388,304,482.25/183,527
  6. Step 6: Final answer
    x = 824,883.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.