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Finding the Third Proportional to 139,848 and 304,527

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Solution

The third proportional to 139,848 and 304,527 is: 663,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,848 : 304,527 = 304,527 : x
  2. Step 2: Convert to fraction form
    139,848/304,527 = 304,527/x
  3. Step 3: Cross multiply
    139,848x = 304,527 × 304,527
  4. Step 4: Simplify right side
    139,848x = 92,736,693,729
  5. Step 5: Solve for x
    x = 92,736,693,729/139,848
  6. Step 6: Final answer
    x = 663,124.92

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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.